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Finding the Fourth Proportional to 10,149, 14,005.80 and 5,957.16

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Solution

The fourth proportional to 10,149, 14,005.80 and 5,957.16 is: 8,220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149 : 14,005.80 = 5,957.16 : x
  2. Step 2: Convert to fraction form
    10,149/14,005.80 = 5,957.16/x
  3. Step 3: Cross multiply
    10,149x = 14,005.80 × 5,957.16
  4. Step 4: Simplify right side
    10,149x = 83,434,791.53
  5. Step 5: Solve for x
    x = 83,434,791.53/10,149
  6. Step 6: Final answer
    x = 8,220.99

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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.