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Finding the Fourth Proportional to 7,471, 10,312.80 and 5,873.48

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Solution

The fourth proportional to 7,471, 10,312.80 and 5,873.48 is: 8,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471 : 10,312.80 = 5,873.48 : x
  2. Step 2: Convert to fraction form
    7,471/10,312.80 = 5,873.48/x
  3. Step 3: Cross multiply
    7,471x = 10,312.80 × 5,873.48
  4. Step 4: Simplify right side
    7,471x = 60,572,024.54
  5. Step 5: Solve for x
    x = 60,572,024.54/7,471
  6. Step 6: Final answer
    x = 8,107.62

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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.