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Finding the Fourth Proportional to 10,509.70, 15,764.54 and 3,938.98

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Solution

The fourth proportional to 10,509.70, 15,764.54 and 3,938.98 is: 5,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.70 : 15,764.54 = 3,938.98 : x
  2. Step 2: Convert to fraction form
    10,509.70/15,764.54 = 3,938.98/x
  3. Step 3: Cross multiply
    10,509.70x = 15,764.54 × 3,938.98
  4. Step 4: Simplify right side
    10,509.70x = 62,096,109.25
  5. Step 5: Solve for x
    x = 62,096,109.25/10,509.70
  6. Step 6: Final answer
    x = 5,908.46

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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.