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Finding the Fourth Proportional to 7,451.84, 10,284 and 4,139.84

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Solution

The fourth proportional to 7,451.84, 10,284 and 4,139.84 is: 5,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.84 : 10,284 = 4,139.84 : x
  2. Step 2: Convert to fraction form
    7,451.84/10,284 = 4,139.84/x
  3. Step 3: Cross multiply
    7,451.84x = 10,284 × 4,139.84
  4. Step 4: Simplify right side
    7,451.84x = 42,574,114.56
  5. Step 5: Solve for x
    x = 42,574,114.56/7,451.84
  6. Step 6: Final answer
    x = 5,713.24

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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.