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Finding the Fourth Proportional to 5,686.40, 8,534.40 and 2,767.20

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Solution

The fourth proportional to 5,686.40, 8,534.40 and 2,767.20 is: 4,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.40 : 8,534.40 = 2,767.20 : x
  2. Step 2: Convert to fraction form
    5,686.40/8,534.40 = 2,767.20/x
  3. Step 3: Cross multiply
    5,686.40x = 8,534.40 × 2,767.20
  4. Step 4: Simplify right side
    5,686.40x = 23,616,391.68
  5. Step 5: Solve for x
    x = 23,616,391.68/5,686.40
  6. Step 6: Final answer
    x = 4,153.14

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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.