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Finding the Fourth Proportional to 7,008.84, 9,671.76 and 3,865.02

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Solution

The fourth proportional to 7,008.84, 9,671.76 and 3,865.02 is: 5,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.84 : 9,671.76 = 3,865.02 : x
  2. Step 2: Convert to fraction form
    7,008.84/9,671.76 = 3,865.02/x
  3. Step 3: Cross multiply
    7,008.84x = 9,671.76 × 3,865.02
  4. Step 4: Simplify right side
    7,008.84x = 37,381,545.84
  5. Step 5: Solve for x
    x = 37,381,545.84/7,008.84
  6. Step 6: Final answer
    x = 5,333.49

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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.