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Finding the Fourth Proportional to 2,670.47, 4,005.31 and 1,933.61

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Solution

The fourth proportional to 2,670.47, 4,005.31 and 1,933.61 is: 2,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.47 : 4,005.31 = 1,933.61 : x
  2. Step 2: Convert to fraction form
    2,670.47/4,005.31 = 1,933.61/x
  3. Step 3: Cross multiply
    2,670.47x = 4,005.31 × 1,933.61
  4. Step 4: Simplify right side
    2,670.47x = 7,744,707.47
  5. Step 5: Solve for x
    x = 7,744,707.47/2,670.47
  6. Step 6: Final answer
    x = 2,900.13

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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.