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Finding the Fourth Proportional to 2,980.76, 4,471.16 and 1,681.92

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Solution

The fourth proportional to 2,980.76, 4,471.16 and 1,681.92 is: 2,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.76 : 4,471.16 = 1,681.92 : x
  2. Step 2: Convert to fraction form
    2,980.76/4,471.16 = 1,681.92/x
  3. Step 3: Cross multiply
    2,980.76x = 4,471.16 × 1,681.92
  4. Step 4: Simplify right side
    2,980.76x = 7,520,125.02
  5. Step 5: Solve for x
    x = 7,520,125.02/2,980.76
  6. Step 6: Final answer
    x = 2,522.89

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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.