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Finding the Fourth Proportional to 5,245.26, 7,865.18 and 1,547.02

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Solution

The fourth proportional to 5,245.26, 7,865.18 and 1,547.02 is: 2,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.26 : 7,865.18 = 1,547.02 : x
  2. Step 2: Convert to fraction form
    5,245.26/7,865.18 = 1,547.02/x
  3. Step 3: Cross multiply
    5,245.26x = 7,865.18 × 1,547.02
  4. Step 4: Simplify right side
    5,245.26x = 12,167,543.70
  5. Step 5: Solve for x
    x = 12,167,543.70/5,245.26
  6. Step 6: Final answer
    x = 2,319.72

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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.