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Finding the Fourth Proportional to 10,371.54, 14,308.65 and 6,385.74

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Solution

The fourth proportional to 10,371.54, 14,308.65 and 6,385.74 is: 8,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.54 : 14,308.65 = 6,385.74 : x
  2. Step 2: Convert to fraction form
    10,371.54/14,308.65 = 6,385.74/x
  3. Step 3: Cross multiply
    10,371.54x = 14,308.65 × 6,385.74
  4. Step 4: Simplify right side
    10,371.54x = 91,371,264.99
  5. Step 5: Solve for x
    x = 91,371,264.99/10,371.54
  6. Step 6: Final answer
    x = 8,809.80

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