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Finding the Fourth Proportional to 13,211.46, 19,780.47 and 10,565.46

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Solution

The fourth proportional to 13,211.46, 19,780.47 and 10,565.46 is: 15,818.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.46 : 19,780.47 = 10,565.46 : x
  2. Step 2: Convert to fraction form
    13,211.46/19,780.47 = 10,565.46/x
  3. Step 3: Cross multiply
    13,211.46x = 19,780.47 × 10,565.46
  4. Step 4: Simplify right side
    13,211.46x = 208,989,764.57
  5. Step 5: Solve for x
    x = 208,989,764.57/13,211.46
  6. Step 6: Final answer
    x = 15,818.82

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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.