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Finding the Fourth Proportional to 13,689.86, 20,526.20 and 6,284.80

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Solution

The fourth proportional to 13,689.86, 20,526.20 and 6,284.80 is: 9,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.86 : 20,526.20 = 6,284.80 : x
  2. Step 2: Convert to fraction form
    13,689.86/20,526.20 = 6,284.80/x
  3. Step 3: Cross multiply
    13,689.86x = 20,526.20 × 6,284.80
  4. Step 4: Simplify right side
    13,689.86x = 129,003,061.76
  5. Step 5: Solve for x
    x = 129,003,061.76/13,689.86
  6. Step 6: Final answer
    x = 9,423.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.