Home / 7,678.47-11,520.14-2,748

Finding the Fourth Proportional to 7,678.47, 11,520.14 and 2,748

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Solution

The fourth proportional to 7,678.47, 11,520.14 and 2,748 is: 4,122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.47 : 11,520.14 = 2,748 : x
  2. Step 2: Convert to fraction form
    7,678.47/11,520.14 = 2,748/x
  3. Step 3: Cross multiply
    7,678.47x = 11,520.14 × 2,748
  4. Step 4: Simplify right side
    7,678.47x = 31,657,330.98
  5. Step 5: Solve for x
    x = 31,657,330.98/7,678.47
  6. Step 6: Final answer
    x = 4,122.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.