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Finding the Fourth Proportional to 9,828.80, 14,721.60 and 8,734.40

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Solution

The fourth proportional to 9,828.80, 14,721.60 and 8,734.40 is: 13,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.80 : 14,721.60 = 8,734.40 : x
  2. Step 2: Convert to fraction form
    9,828.80/14,721.60 = 8,734.40/x
  3. Step 3: Cross multiply
    9,828.80x = 14,721.60 × 8,734.40
  4. Step 4: Simplify right side
    9,828.80x = 128,584,343.04
  5. Step 5: Solve for x
    x = 128,584,343.04/9,828.80
  6. Step 6: Final answer
    x = 13,082.41

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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.