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Finding the Fourth Proportional to 5,245.92, 7,870.80 and 2,508

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Solution

The fourth proportional to 5,245.92, 7,870.80 and 2,508 is: 3,762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.92 : 7,870.80 = 2,508 : x
  2. Step 2: Convert to fraction form
    5,245.92/7,870.80 = 2,508/x
  3. Step 3: Cross multiply
    5,245.92x = 7,870.80 × 2,508
  4. Step 4: Simplify right side
    5,245.92x = 19,739,966.40
  5. Step 5: Solve for x
    x = 19,739,966.40/5,245.92
  6. Step 6: Final answer
    x = 3,762.92

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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.