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Finding the Fourth Proportional to 7,471.69, 10,307.47 and 4,819.95

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Solution

The fourth proportional to 7,471.69, 10,307.47 and 4,819.95 is: 6,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.69 : 10,307.47 = 4,819.95 : x
  2. Step 2: Convert to fraction form
    7,471.69/10,307.47 = 4,819.95/x
  3. Step 3: Cross multiply
    7,471.69x = 10,307.47 × 4,819.95
  4. Step 4: Simplify right side
    7,471.69x = 49,681,465.93
  5. Step 5: Solve for x
    x = 49,681,465.93/7,471.69
  6. Step 6: Final answer
    x = 6,649.29

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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.