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Finding the Fourth Proportional to 10,421.92, 14,382 and 5,706.12

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Solution

The fourth proportional to 10,421.92, 14,382 and 5,706.12 is: 7,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.92 : 14,382 = 5,706.12 : x
  2. Step 2: Convert to fraction form
    10,421.92/14,382 = 5,706.12/x
  3. Step 3: Cross multiply
    10,421.92x = 14,382 × 5,706.12
  4. Step 4: Simplify right side
    10,421.92x = 82,065,417.84
  5. Step 5: Solve for x
    x = 82,065,417.84/10,421.92
  6. Step 6: Final answer
    x = 7,874.31

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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.