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Finding the Fourth Proportional to 28,424.52, 42,637.32 and 7,647.48

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Solution

The fourth proportional to 28,424.52, 42,637.32 and 7,647.48 is: 11,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,424.52 : 42,637.32 = 7,647.48 : x
  2. Step 2: Convert to fraction form
    28,424.52/42,637.32 = 7,647.48/x
  3. Step 3: Cross multiply
    28,424.52x = 42,637.32 × 7,647.48
  4. Step 4: Simplify right side
    28,424.52x = 326,068,051.95
  5. Step 5: Solve for x
    x = 326,068,051.95/28,424.52
  6. Step 6: Final answer
    x = 11,471.37

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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.