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Finding the Fourth Proportional to 9,808, 14,712 and 2,882.40

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Solution

The fourth proportional to 9,808, 14,712 and 2,882.40 is: 4,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808 : 14,712 = 2,882.40 : x
  2. Step 2: Convert to fraction form
    9,808/14,712 = 2,882.40/x
  3. Step 3: Cross multiply
    9,808x = 14,712 × 2,882.40
  4. Step 4: Simplify right side
    9,808x = 42,405,868.80
  5. Step 5: Solve for x
    x = 42,405,868.80/9,808
  6. Step 6: Final answer
    x = 4,323.60

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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.