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Finding the Fourth Proportional to 9,902,896.80, 14,877,964.80 and 8,863,634.40

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Solution

The fourth proportional to 9,902,896.80, 14,877,964.80 and 8,863,634.40 is: 13,316,592.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902,896.80 : 14,877,964.80 = 8,863,634.40 : x
  2. Step 2: Convert to fraction form
    9,902,896.80/14,877,964.80 = 8,863,634.40/x
  3. Step 3: Cross multiply
    9,902,896.80x = 14,877,964.80 × 8,863,634.40
  4. Step 4: Simplify right side
    9,902,896.80x = 131,872,840,603,269.12
  5. Step 5: Solve for x
    x = 131,872,840,603,269.12/9,902,896.80
  6. Step 6: Final answer
    x = 13,316,592.43

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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.