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Finding the Fourth Proportional to 8,101.32, 12,130.93 and 6,938.80

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Solution

The fourth proportional to 8,101.32, 12,130.93 and 6,938.80 is: 10,390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.32 : 12,130.93 = 6,938.80 : x
  2. Step 2: Convert to fraction form
    8,101.32/12,130.93 = 6,938.80/x
  3. Step 3: Cross multiply
    8,101.32x = 12,130.93 × 6,938.80
  4. Step 4: Simplify right side
    8,101.32x = 84,174,097.08
  5. Step 5: Solve for x
    x = 84,174,097.08/8,101.32
  6. Step 6: Final answer
    x = 10,390.17

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1.5x scale

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.