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Finding the Fourth Proportional to 5,447.52, 8,172.72 and 1,985.12

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Solution

The fourth proportional to 5,447.52, 8,172.72 and 1,985.12 is: 2,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.52 : 8,172.72 = 1,985.12 : x
  2. Step 2: Convert to fraction form
    5,447.52/8,172.72 = 1,985.12/x
  3. Step 3: Cross multiply
    5,447.52x = 8,172.72 × 1,985.12
  4. Step 4: Simplify right side
    5,447.52x = 16,223,829.93
  5. Step 5: Solve for x
    x = 16,223,829.93/5,447.52
  6. Step 6: Final answer
    x = 2,978.20

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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.