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Finding the Fourth Proportional to 7,176, 9,902.88 and 4,381.12

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Solution

The fourth proportional to 7,176, 9,902.88 and 4,381.12 is: 6,045.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176 : 9,902.88 = 4,381.12 : x
  2. Step 2: Convert to fraction form
    7,176/9,902.88 = 4,381.12/x
  3. Step 3: Cross multiply
    7,176x = 9,902.88 × 4,381.12
  4. Step 4: Simplify right side
    7,176x = 43,385,705.63
  5. Step 5: Solve for x
    x = 43,385,705.63/7,176
  6. Step 6: Final answer
    x = 6,045.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.