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Finding the Fourth Proportional to 2,472.93, 3,710.61 and 1,012.50

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Solution

The fourth proportional to 2,472.93, 3,710.61 and 1,012.50 is: 1,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.93 : 3,710.61 = 1,012.50 : x
  2. Step 2: Convert to fraction form
    2,472.93/3,710.61 = 1,012.50/x
  3. Step 3: Cross multiply
    2,472.93x = 3,710.61 × 1,012.50
  4. Step 4: Simplify right side
    2,472.93x = 3,756,992.63
  5. Step 5: Solve for x
    x = 3,756,992.63/2,472.93
  6. Step 6: Final answer
    x = 1,519.25

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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.