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Finding the Fourth Proportional to 10,666.54, 14,721.13 and 6,419.81

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Solution

The fourth proportional to 10,666.54, 14,721.13 and 6,419.81 is: 8,860.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.54 : 14,721.13 = 6,419.81 : x
  2. Step 2: Convert to fraction form
    10,666.54/14,721.13 = 6,419.81/x
  3. Step 3: Cross multiply
    10,666.54x = 14,721.13 × 6,419.81
  4. Step 4: Simplify right side
    10,666.54x = 94,506,810.58
  5. Step 5: Solve for x
    x = 94,506,810.58/10,666.54
  6. Step 6: Final answer
    x = 8,860.12

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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.