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Finding the Fourth Proportional to 10,402.16, 15,598.20 and 5,205.20

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Solution

The fourth proportional to 10,402.16, 15,598.20 and 5,205.20 is: 7,805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.16 : 15,598.20 = 5,205.20 : x
  2. Step 2: Convert to fraction form
    10,402.16/15,598.20 = 5,205.20/x
  3. Step 3: Cross multiply
    10,402.16x = 15,598.20 × 5,205.20
  4. Step 4: Simplify right side
    10,402.16x = 81,191,750.64
  5. Step 5: Solve for x
    x = 81,191,750.64/10,402.16
  6. Step 6: Final answer
    x = 7,805.28

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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.