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Finding the Fourth Proportional to 5,242.32, 7,868.18 and 4,686.15

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Solution

The fourth proportional to 5,242.32, 7,868.18 and 4,686.15 is: 7,033.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.32 : 7,868.18 = 4,686.15 : x
  2. Step 2: Convert to fraction form
    5,242.32/7,868.18 = 4,686.15/x
  3. Step 3: Cross multiply
    5,242.32x = 7,868.18 × 4,686.15
  4. Step 4: Simplify right side
    5,242.32x = 36,871,471.71
  5. Step 5: Solve for x
    x = 36,871,471.71/5,242.32
  6. Step 6: Final answer
    x = 7,033.43

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1.5x scale

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.