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Finding the Fourth Proportional to 8,705.28, 12,023.26 and 5,734.40

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Solution

The fourth proportional to 8,705.28, 12,023.26 and 5,734.40 is: 7,920.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.28 : 12,023.26 = 5,734.40 : x
  2. Step 2: Convert to fraction form
    8,705.28/12,023.26 = 5,734.40/x
  3. Step 3: Cross multiply
    8,705.28x = 12,023.26 × 5,734.40
  4. Step 4: Simplify right side
    8,705.28x = 68,946,182.14
  5. Step 5: Solve for x
    x = 68,946,182.14/8,705.28
  6. Step 6: Final answer
    x = 7,920.04

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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.