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Finding the Fourth Proportional to 28,358.40, 42,535.80 and 9,638.40

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Solution

The fourth proportional to 28,358.40, 42,535.80 and 9,638.40 is: 14,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,358.40 : 42,535.80 = 9,638.40 : x
  2. Step 2: Convert to fraction form
    28,358.40/42,535.80 = 9,638.40/x
  3. Step 3: Cross multiply
    28,358.40x = 42,535.80 × 9,638.40
  4. Step 4: Simplify right side
    28,358.40x = 409,977,054.72
  5. Step 5: Solve for x
    x = 409,977,054.72/28,358.40
  6. Step 6: Final answer
    x = 14,456.99

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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.