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Finding the Fourth Proportional to 5,875.56, 8,812.80 and 1,980

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Solution

The fourth proportional to 5,875.56, 8,812.80 and 1,980 is: 2,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.56 : 8,812.80 = 1,980 : x
  2. Step 2: Convert to fraction form
    5,875.56/8,812.80 = 1,980/x
  3. Step 3: Cross multiply
    5,875.56x = 8,812.80 × 1,980
  4. Step 4: Simplify right side
    5,875.56x = 17,449,344
  5. Step 5: Solve for x
    x = 17,449,344/5,875.56
  6. Step 6: Final answer
    x = 2,969.82

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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.