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Finding the Fourth Proportional to 28,251.40, 42,370 and 11,616.08

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Solution

The fourth proportional to 28,251.40, 42,370 and 11,616.08 is: 17,421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,251.40 : 42,370 = 11,616.08 : x
  2. Step 2: Convert to fraction form
    28,251.40/42,370 = 11,616.08/x
  3. Step 3: Cross multiply
    28,251.40x = 42,370 × 11,616.08
  4. Step 4: Simplify right side
    28,251.40x = 492,173,309.60
  5. Step 5: Solve for x
    x = 492,173,309.60/28,251.40
  6. Step 6: Final answer
    x = 17,421.20

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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.