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Finding the Fourth Proportional to 6,387.74, 9,581.60 and 1,770.74

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Solution

The fourth proportional to 6,387.74, 9,581.60 and 1,770.74 is: 2,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.74 : 9,581.60 = 1,770.74 : x
  2. Step 2: Convert to fraction form
    6,387.74/9,581.60 = 1,770.74/x
  3. Step 3: Cross multiply
    6,387.74x = 9,581.60 × 1,770.74
  4. Step 4: Simplify right side
    6,387.74x = 16,966,465.62
  5. Step 5: Solve for x
    x = 16,966,465.62/6,387.74
  6. Step 6: Final answer
    x = 2,656.10

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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.