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Finding the Fourth Proportional to 1,980.74, 2,971.14 and 520.10

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Solution

The fourth proportional to 1,980.74, 2,971.14 and 520.10 is: 780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.74 : 2,971.14 = 520.10 : x
  2. Step 2: Convert to fraction form
    1,980.74/2,971.14 = 520.10/x
  3. Step 3: Cross multiply
    1,980.74x = 2,971.14 × 520.10
  4. Step 4: Simplify right side
    1,980.74x = 1,545,289.91
  5. Step 5: Solve for x
    x = 1,545,289.91/1,980.74
  6. Step 6: Final answer
    x = 780.16

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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.