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Finding the Fourth Proportional to 7,107, 9,807.45 and 4,122.63

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Solution

The fourth proportional to 7,107, 9,807.45 and 4,122.63 is: 5,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107 : 9,807.45 = 4,122.63 : x
  2. Step 2: Convert to fraction form
    7,107/9,807.45 = 4,122.63/x
  3. Step 3: Cross multiply
    7,107x = 9,807.45 × 4,122.63
  4. Step 4: Simplify right side
    7,107x = 40,432,487.59
  5. Step 5: Solve for x
    x = 40,432,487.59/7,107
  6. Step 6: Final answer
    x = 5,689.11

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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.