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Finding the Fourth Proportional to 10,603, 15,897.48 and 5,057.20

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Solution

The fourth proportional to 10,603, 15,897.48 and 5,057.20 is: 7,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603 : 15,897.48 = 5,057.20 : x
  2. Step 2: Convert to fraction form
    10,603/15,897.48 = 5,057.20/x
  3. Step 3: Cross multiply
    10,603x = 15,897.48 × 5,057.20
  4. Step 4: Simplify right side
    10,603x = 80,396,735.86
  5. Step 5: Solve for x
    x = 80,396,735.86/10,603
  6. Step 6: Final answer
    x = 7,582.45

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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.