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Finding the Fourth Proportional to 20,565.60, 30,848.40 and 7,427.40

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Solution

The fourth proportional to 20,565.60, 30,848.40 and 7,427.40 is: 11,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.60 : 30,848.40 = 7,427.40 : x
  2. Step 2: Convert to fraction form
    20,565.60/30,848.40 = 7,427.40/x
  3. Step 3: Cross multiply
    20,565.60x = 30,848.40 × 7,427.40
  4. Step 4: Simplify right side
    20,565.60x = 229,123,406.16
  5. Step 5: Solve for x
    x = 229,123,406.16/20,565.60
  6. Step 6: Final answer
    x = 11,141.10

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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.