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Finding the Fourth Proportional to 1,981.12, 2,971.47 and 520.08

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Solution

The fourth proportional to 1,981.12, 2,971.47 and 520.08 is: 780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.12 : 2,971.47 = 520.08 : x
  2. Step 2: Convert to fraction form
    1,981.12/2,971.47 = 520.08/x
  3. Step 3: Cross multiply
    1,981.12x = 2,971.47 × 520.08
  4. Step 4: Simplify right side
    1,981.12x = 1,545,402.12
  5. Step 5: Solve for x
    x = 1,545,402.12/1,981.12
  6. Step 6: Final answer
    x = 780.06

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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.