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Finding the Fourth Proportional to 10,101.07, 15,154 and 5,091.13

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Solution

The fourth proportional to 10,101.07, 15,154 and 5,091.13 is: 7,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.07 : 15,154 = 5,091.13 : x
  2. Step 2: Convert to fraction form
    10,101.07/15,154 = 5,091.13/x
  3. Step 3: Cross multiply
    10,101.07x = 15,154 × 5,091.13
  4. Step 4: Simplify right side
    10,101.07x = 77,150,984.02
  5. Step 5: Solve for x
    x = 77,150,984.02/10,101.07
  6. Step 6: Final answer
    x = 7,637.90

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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.