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Finding the Fourth Proportional to 20,527.80, 30,780.72 and 10,657.14

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Solution

The fourth proportional to 20,527.80, 30,780.72 and 10,657.14 is: 15,980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,527.80 : 30,780.72 = 10,657.14 : x
  2. Step 2: Convert to fraction form
    20,527.80/30,780.72 = 10,657.14/x
  3. Step 3: Cross multiply
    20,527.80x = 30,780.72 × 10,657.14
  4. Step 4: Simplify right side
    20,527.80x = 328,034,442.34
  5. Step 5: Solve for x
    x = 328,034,442.34/20,527.80
  6. Step 6: Final answer
    x = 15,980.01

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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.