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Finding the Fourth Proportional to 5,722.40, 8,569.68 and 4,659.68

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Solution

The fourth proportional to 5,722.40, 8,569.68 and 4,659.68 is: 6,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.40 : 8,569.68 = 4,659.68 : x
  2. Step 2: Convert to fraction form
    5,722.40/8,569.68 = 4,659.68/x
  3. Step 3: Cross multiply
    5,722.40x = 8,569.68 × 4,659.68
  4. Step 4: Simplify right side
    5,722.40x = 39,931,966.50
  5. Step 5: Solve for x
    x = 39,931,966.50/5,722.40
  6. Step 6: Final answer
    x = 6,978.19

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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.