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Finding the Fourth Proportional to 10,587.20, 14,609 and 5,871.38

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Solution

The fourth proportional to 10,587.20, 14,609 and 5,871.38 is: 8,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.20 : 14,609 = 5,871.38 : x
  2. Step 2: Convert to fraction form
    10,587.20/14,609 = 5,871.38/x
  3. Step 3: Cross multiply
    10,587.20x = 14,609 × 5,871.38
  4. Step 4: Simplify right side
    10,587.20x = 85,774,990.42
  5. Step 5: Solve for x
    x = 85,774,990.42/10,587.20
  6. Step 6: Final answer
    x = 8,101.76

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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.