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Finding the Fourth Proportional to 20,586, 28,402.08 and 12,624.24

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Solution

The fourth proportional to 20,586, 28,402.08 and 12,624.24 is: 17,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,586 : 28,402.08 = 12,624.24 : x
  2. Step 2: Convert to fraction form
    20,586/28,402.08 = 12,624.24/x
  3. Step 3: Cross multiply
    20,586x = 28,402.08 × 12,624.24
  4. Step 4: Simplify right side
    20,586x = 358,554,674.42
  5. Step 5: Solve for x
    x = 358,554,674.42/20,586
  6. Step 6: Final answer
    x = 17,417.40

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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.