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Finding the Fourth Proportional to 2,970.80, 4,101 and 2,262.76

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Solution

The fourth proportional to 2,970.80, 4,101 and 2,262.76 is: 3,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.80 : 4,101 = 2,262.76 : x
  2. Step 2: Convert to fraction form
    2,970.80/4,101 = 2,262.76/x
  3. Step 3: Cross multiply
    2,970.80x = 4,101 × 2,262.76
  4. Step 4: Simplify right side
    2,970.80x = 9,279,578.76
  5. Step 5: Solve for x
    x = 9,279,578.76/2,970.80
  6. Step 6: Final answer
    x = 3,123.60

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1.5x scale

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.