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Finding the Fourth Proportional to 5,245.54, 7,865.60 and 1,547.30

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Solution

The fourth proportional to 5,245.54, 7,865.60 and 1,547.30 is: 2,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.54 : 7,865.60 = 1,547.30 : x
  2. Step 2: Convert to fraction form
    5,245.54/7,865.60 = 1,547.30/x
  3. Step 3: Cross multiply
    5,245.54x = 7,865.60 × 1,547.30
  4. Step 4: Simplify right side
    5,245.54x = 12,170,415.48
  5. Step 5: Solve for x
    x = 12,170,415.48/5,245.54
  6. Step 6: Final answer
    x = 2,320.15

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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.