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Finding the Fourth Proportional to 10,065.15, 15,100.11 and 9,897.80

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Solution

The fourth proportional to 10,065.15, 15,100.11 and 9,897.80 is: 14,849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.15 : 15,100.11 = 9,897.80 : x
  2. Step 2: Convert to fraction form
    10,065.15/15,100.11 = 9,897.80/x
  3. Step 3: Cross multiply
    10,065.15x = 15,100.11 × 9,897.80
  4. Step 4: Simplify right side
    10,065.15x = 149,457,793.26
  5. Step 5: Solve for x
    x = 149,457,793.26/10,065.15
  6. Step 6: Final answer
    x = 14,849.04

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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.