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Finding the Fourth Proportional to 9,285.12, 12,812.32 and 5,929.90

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Solution

The fourth proportional to 9,285.12, 12,812.32 and 5,929.90 is: 8,182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.12 : 12,812.32 = 5,929.90 : x
  2. Step 2: Convert to fraction form
    9,285.12/12,812.32 = 5,929.90/x
  3. Step 3: Cross multiply
    9,285.12x = 12,812.32 × 5,929.90
  4. Step 4: Simplify right side
    9,285.12x = 75,975,682.66
  5. Step 5: Solve for x
    x = 75,975,682.66/9,285.12
  6. Step 6: Final answer
    x = 8,182.52

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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.