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Finding the Fourth Proportional to 12,948, 17,868.24 and 7,060

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Solution

The fourth proportional to 12,948, 17,868.24 and 7,060 is: 9,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,948 : 17,868.24 = 7,060 : x
  2. Step 2: Convert to fraction form
    12,948/17,868.24 = 7,060/x
  3. Step 3: Cross multiply
    12,948x = 17,868.24 × 7,060
  4. Step 4: Simplify right side
    12,948x = 126,149,774.40
  5. Step 5: Solve for x
    x = 126,149,774.40/12,948
  6. Step 6: Final answer
    x = 9,742.80

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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.