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Finding the Fourth Proportional to 10,503.81, 14,497.65 and 7,154.73

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Solution

The fourth proportional to 10,503.81, 14,497.65 and 7,154.73 is: 9,875.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.81 : 14,497.65 = 7,154.73 : x
  2. Step 2: Convert to fraction form
    10,503.81/14,497.65 = 7,154.73/x
  3. Step 3: Cross multiply
    10,503.81x = 14,497.65 × 7,154.73
  4. Step 4: Simplify right side
    10,503.81x = 103,726,771.38
  5. Step 5: Solve for x
    x = 103,726,771.38/10,503.81
  6. Step 6: Final answer
    x = 9,875.16

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.