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Finding the Fourth Proportional to 7,112.80, 9,972.50 and 7,112.80

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Solution

The fourth proportional to 7,112.80, 9,972.50 and 7,112.80 is: 9,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.80 : 9,972.50 = 7,112.80 : x
  2. Step 2: Convert to fraction form
    7,112.80/9,972.50 = 7,112.80/x
  3. Step 3: Cross multiply
    7,112.80x = 9,972.50 × 7,112.80
  4. Step 4: Simplify right side
    7,112.80x = 70,932,398
  5. Step 5: Solve for x
    x = 70,932,398/7,112.80
  6. Step 6: Final answer
    x = 9,972.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.