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Finding the Fourth Proportional to 7,320.47, 10,978.74 and 2,055.17

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Solution

The fourth proportional to 7,320.47, 10,978.74 and 2,055.17 is: 3,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,320.47 : 10,978.74 = 2,055.17 : x
  2. Step 2: Convert to fraction form
    7,320.47/10,978.74 = 2,055.17/x
  3. Step 3: Cross multiply
    7,320.47x = 10,978.74 × 2,055.17
  4. Step 4: Simplify right side
    7,320.47x = 22,563,204.53
  5. Step 5: Solve for x
    x = 22,563,204.53/7,320.47
  6. Step 6: Final answer
    x = 3,082.21

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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.