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Finding the Fourth Proportional to 5,870.40, 8,758.80 and 5,102.40

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Solution

The fourth proportional to 5,870.40, 8,758.80 and 5,102.40 is: 7,612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.40 : 8,758.80 = 5,102.40 : x
  2. Step 2: Convert to fraction form
    5,870.40/8,758.80 = 5,102.40/x
  3. Step 3: Cross multiply
    5,870.40x = 8,758.80 × 5,102.40
  4. Step 4: Simplify right side
    5,870.40x = 44,690,901.12
  5. Step 5: Solve for x
    x = 44,690,901.12/5,870.40
  6. Step 6: Final answer
    x = 7,612.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.