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Finding the Fourth Proportional to 28,234, 42,335.80 and 9,507.80

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Solution

The fourth proportional to 28,234, 42,335.80 and 9,507.80 is: 14,256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,234 : 42,335.80 = 9,507.80 : x
  2. Step 2: Convert to fraction form
    28,234/42,335.80 = 9,507.80/x
  3. Step 3: Cross multiply
    28,234x = 42,335.80 × 9,507.80
  4. Step 4: Simplify right side
    28,234x = 402,520,319.24
  5. Step 5: Solve for x
    x = 402,520,319.24/28,234
  6. Step 6: Final answer
    x = 14,256.58

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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.