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Finding the Fourth Proportional to 6,591.80, 9,887.70 and 1,661.52

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Solution

The fourth proportional to 6,591.80, 9,887.70 and 1,661.52 is: 2,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.80 : 9,887.70 = 1,661.52 : x
  2. Step 2: Convert to fraction form
    6,591.80/9,887.70 = 1,661.52/x
  3. Step 3: Cross multiply
    6,591.80x = 9,887.70 × 1,661.52
  4. Step 4: Simplify right side
    6,591.80x = 16,428,611.30
  5. Step 5: Solve for x
    x = 16,428,611.30/6,591.80
  6. Step 6: Final answer
    x = 2,492.28

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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.