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Finding the Fourth Proportional to 5,321.35, 7,984.77 and 2,547.46

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Solution

The fourth proportional to 5,321.35, 7,984.77 and 2,547.46 is: 3,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.35 : 7,984.77 = 2,547.46 : x
  2. Step 2: Convert to fraction form
    5,321.35/7,984.77 = 2,547.46/x
  3. Step 3: Cross multiply
    5,321.35x = 7,984.77 × 2,547.46
  4. Step 4: Simplify right side
    5,321.35x = 20,340,882.18
  5. Step 5: Solve for x
    x = 20,340,882.18/5,321.35
  6. Step 6: Final answer
    x = 3,822.50

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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.