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Finding the Fourth Proportional to 5,147.14, 7,118.00 and 5,053.68

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Solution

The fourth proportional to 5,147.14, 7,118.00 and 5,053.68 is: 6,988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.14 : 7,118.00 = 5,053.68 : x
  2. Step 2: Convert to fraction form
    5,147.14/7,118.00 = 5,053.68/x
  3. Step 3: Cross multiply
    5,147.14x = 7,118.00 × 5,053.68
  4. Step 4: Simplify right side
    5,147.14x = 35,972,092.13
  5. Step 5: Solve for x
    x = 35,972,092.13/5,147.14
  6. Step 6: Final answer
    x = 6,988.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.