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Finding the Fourth Proportional to 10,243.70, 15,365.55 and 9,709.10

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Solution

The fourth proportional to 10,243.70, 15,365.55 and 9,709.10 is: 14,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.70 : 15,365.55 = 9,709.10 : x
  2. Step 2: Convert to fraction form
    10,243.70/15,365.55 = 9,709.10/x
  3. Step 3: Cross multiply
    10,243.70x = 15,365.55 × 9,709.10
  4. Step 4: Simplify right side
    10,243.70x = 149,185,661.51
  5. Step 5: Solve for x
    x = 149,185,661.51/10,243.70
  6. Step 6: Final answer
    x = 14,563.65

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.