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Finding the Fourth Proportional to 5,652.12, 7,807.86 and 5,147.10

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Solution

The fourth proportional to 5,652.12, 7,807.86 and 5,147.10 is: 7,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.12 : 7,807.86 = 5,147.10 : x
  2. Step 2: Convert to fraction form
    5,652.12/7,807.86 = 5,147.10/x
  3. Step 3: Cross multiply
    5,652.12x = 7,807.86 × 5,147.10
  4. Step 4: Simplify right side
    5,652.12x = 40,187,836.21
  5. Step 5: Solve for x
    x = 40,187,836.21/5,652.12
  6. Step 6: Final answer
    x = 7,110.22

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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.