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Finding the Fourth Proportional to 10,471, 15,710.54 and 3,545.48

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Solution

The fourth proportional to 10,471, 15,710.54 and 3,545.48 is: 5,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471 : 15,710.54 = 3,545.48 : x
  2. Step 2: Convert to fraction form
    10,471/15,710.54 = 3,545.48/x
  3. Step 3: Cross multiply
    10,471x = 15,710.54 × 3,545.48
  4. Step 4: Simplify right side
    10,471x = 55,701,405.36
  5. Step 5: Solve for x
    x = 55,701,405.36/10,471
  6. Step 6: Final answer
    x = 5,319.59

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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.