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Finding the Fourth Proportional to 10,279.64, 15,424.86 and 5,603

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Solution

The fourth proportional to 10,279.64, 15,424.86 and 5,603 is: 8,407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.64 : 15,424.86 = 5,603 : x
  2. Step 2: Convert to fraction form
    10,279.64/15,424.86 = 5,603/x
  3. Step 3: Cross multiply
    10,279.64x = 15,424.86 × 5,603
  4. Step 4: Simplify right side
    10,279.64x = 86,425,490.58
  5. Step 5: Solve for x
    x = 86,425,490.58/10,279.64
  6. Step 6: Final answer
    x = 8,407.44

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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.