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Finding the Fourth Proportional to 9,263.68, 12,784.80 and 5,285.44

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Solution

The fourth proportional to 9,263.68, 12,784.80 and 5,285.44 is: 7,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.68 : 12,784.80 = 5,285.44 : x
  2. Step 2: Convert to fraction form
    9,263.68/12,784.80 = 5,285.44/x
  3. Step 3: Cross multiply
    9,263.68x = 12,784.80 × 5,285.44
  4. Step 4: Simplify right side
    9,263.68x = 67,573,293.31
  5. Step 5: Solve for x
    x = 67,573,293.31/9,263.68
  6. Step 6: Final answer
    x = 7,294.43

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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.