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Finding the Fourth Proportional to 10,612.42, 15,913.15 and 7,285.75

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Solution

The fourth proportional to 10,612.42, 15,913.15 and 7,285.75 is: 10,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.42 : 15,913.15 = 7,285.75 : x
  2. Step 2: Convert to fraction form
    10,612.42/15,913.15 = 7,285.75/x
  3. Step 3: Cross multiply
    10,612.42x = 15,913.15 × 7,285.75
  4. Step 4: Simplify right side
    10,612.42x = 115,939,232.61
  5. Step 5: Solve for x
    x = 115,939,232.61/10,612.42
  6. Step 6: Final answer
    x = 10,924.86

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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.