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Finding the Fourth Proportional to 8,713.28, 12,024.32 and 4,734.40

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Solution

The fourth proportional to 8,713.28, 12,024.32 and 4,734.40 is: 6,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.28 : 12,024.32 = 4,734.40 : x
  2. Step 2: Convert to fraction form
    8,713.28/12,024.32 = 4,734.40/x
  3. Step 3: Cross multiply
    8,713.28x = 12,024.32 × 4,734.40
  4. Step 4: Simplify right side
    8,713.28x = 56,927,940.61
  5. Step 5: Solve for x
    x = 56,927,940.61/8,713.28
  6. Step 6: Final answer
    x = 6,533.47

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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.