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Finding the Fourth Proportional to 13,565.80, 20,309.10 and 9,677.80

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Solution

The fourth proportional to 13,565.80, 20,309.10 and 9,677.80 is: 14,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.80 : 20,309.10 = 9,677.80 : x
  2. Step 2: Convert to fraction form
    13,565.80/20,309.10 = 9,677.80/x
  3. Step 3: Cross multiply
    13,565.80x = 20,309.10 × 9,677.80
  4. Step 4: Simplify right side
    13,565.80x = 196,547,407.98
  5. Step 5: Solve for x
    x = 196,547,407.98/13,565.80
  6. Step 6: Final answer
    x = 14,488.45

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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.