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Finding the Fourth Proportional to 10,005.68, 13,801.88 and 6,470.97

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Solution

The fourth proportional to 10,005.68, 13,801.88 and 6,470.97 is: 8,926.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.68 : 13,801.88 = 6,470.97 : x
  2. Step 2: Convert to fraction form
    10,005.68/13,801.88 = 6,470.97/x
  3. Step 3: Cross multiply
    10,005.68x = 13,801.88 × 6,470.97
  4. Step 4: Simplify right side
    10,005.68x = 89,311,519.07
  5. Step 5: Solve for x
    x = 89,311,519.07/10,005.68
  6. Step 6: Final answer
    x = 8,926.09

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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.