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Finding the Fourth Proportional to 8,012, 11,079.60 and 7,645.28

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Solution

The fourth proportional to 8,012, 11,079.60 and 7,645.28 is: 10,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012 : 11,079.60 = 7,645.28 : x
  2. Step 2: Convert to fraction form
    8,012/11,079.60 = 7,645.28/x
  3. Step 3: Cross multiply
    8,012x = 11,079.60 × 7,645.28
  4. Step 4: Simplify right side
    8,012x = 84,706,644.29
  5. Step 5: Solve for x
    x = 84,706,644.29/8,012
  6. Step 6: Final answer
    x = 10,572.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.