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Finding the Fourth Proportional to 2,970.76, 4,456.74 and 2,046.76

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Solution

The fourth proportional to 2,970.76, 4,456.74 and 2,046.76 is: 3,070.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.76 : 4,456.74 = 2,046.76 : x
  2. Step 2: Convert to fraction form
    2,970.76/4,456.74 = 2,046.76/x
  3. Step 3: Cross multiply
    2,970.76x = 4,456.74 × 2,046.76
  4. Step 4: Simplify right side
    2,970.76x = 9,121,877.16
  5. Step 5: Solve for x
    x = 9,121,877.16/2,970.76
  6. Step 6: Final answer
    x = 3,070.55

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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.