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Finding the Fourth Proportional to 9,870.78, 14,812 and 3,635.17

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Solution

The fourth proportional to 9,870.78, 14,812 and 3,635.17 is: 5,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.78 : 14,812 = 3,635.17 : x
  2. Step 2: Convert to fraction form
    9,870.78/14,812 = 3,635.17/x
  3. Step 3: Cross multiply
    9,870.78x = 14,812 × 3,635.17
  4. Step 4: Simplify right side
    9,870.78x = 53,844,138.04
  5. Step 5: Solve for x
    x = 53,844,138.04/9,870.78
  6. Step 6: Final answer
    x = 5,454.90

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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.