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Finding the Fourth Proportional to 8,666.65, 11,956.78 and 5,684.13

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Solution

The fourth proportional to 8,666.65, 11,956.78 and 5,684.13 is: 7,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.65 : 11,956.78 = 5,684.13 : x
  2. Step 2: Convert to fraction form
    8,666.65/11,956.78 = 5,684.13/x
  3. Step 3: Cross multiply
    8,666.65x = 11,956.78 × 5,684.13
  4. Step 4: Simplify right side
    8,666.65x = 67,963,891.90
  5. Step 5: Solve for x
    x = 67,963,891.90/8,666.65
  6. Step 6: Final answer
    x = 7,842.00

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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.