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Finding the Fourth Proportional to 5,510.40, 7,972.80 and 5,510.40

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Solution

The fourth proportional to 5,510.40, 7,972.80 and 5,510.40 is: 7,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.40 : 7,972.80 = 5,510.40 : x
  2. Step 2: Convert to fraction form
    5,510.40/7,972.80 = 5,510.40/x
  3. Step 3: Cross multiply
    5,510.40x = 7,972.80 × 5,510.40
  4. Step 4: Simplify right side
    5,510.40x = 43,933,317.12
  5. Step 5: Solve for x
    x = 43,933,317.12/5,510.40
  6. Step 6: Final answer
    x = 7,972.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.