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Finding the Fourth Proportional to 10,520.16, 15,775.08 and 6,138.72

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Solution

The fourth proportional to 10,520.16, 15,775.08 and 6,138.72 is: 9,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.16 : 15,775.08 = 6,138.72 : x
  2. Step 2: Convert to fraction form
    10,520.16/15,775.08 = 6,138.72/x
  3. Step 3: Cross multiply
    10,520.16x = 15,775.08 × 6,138.72
  4. Step 4: Simplify right side
    10,520.16x = 96,838,799.10
  5. Step 5: Solve for x
    x = 96,838,799.10/10,520.16
  6. Step 6: Final answer
    x = 9,205.07

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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.