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Finding the Fourth Proportional to 1,980.76, 2,971.12 and 520.04

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Solution

The fourth proportional to 1,980.76, 2,971.12 and 520.04 is: 780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.76 : 2,971.12 = 520.04 : x
  2. Step 2: Convert to fraction form
    1,980.76/2,971.12 = 520.04/x
  3. Step 3: Cross multiply
    1,980.76x = 2,971.12 × 520.04
  4. Step 4: Simplify right side
    1,980.76x = 1,545,101.24
  5. Step 5: Solve for x
    x = 1,545,101.24/1,980.76
  6. Step 6: Final answer
    x = 780.05

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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.