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Finding the Fourth Proportional to 21,374.24, 32,058.12 and 7,520

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Solution

The fourth proportional to 21,374.24, 32,058.12 and 7,520 is: 11,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,374.24 : 32,058.12 = 7,520 : x
  2. Step 2: Convert to fraction form
    21,374.24/32,058.12 = 7,520/x
  3. Step 3: Cross multiply
    21,374.24x = 32,058.12 × 7,520
  4. Step 4: Simplify right side
    21,374.24x = 241,077,062.40
  5. Step 5: Solve for x
    x = 241,077,062.40/21,374.24
  6. Step 6: Final answer
    x = 11,278.86

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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.