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Finding the Fourth Proportional to 10,097.70, 15,134.40 and 5,164.80

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Solution

The fourth proportional to 10,097.70, 15,134.40 and 5,164.80 is: 7,740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.70 : 15,134.40 = 5,164.80 : x
  2. Step 2: Convert to fraction form
    10,097.70/15,134.40 = 5,164.80/x
  3. Step 3: Cross multiply
    10,097.70x = 15,134.40 × 5,164.80
  4. Step 4: Simplify right side
    10,097.70x = 78,166,149.12
  5. Step 5: Solve for x
    x = 78,166,149.12/10,097.70
  6. Step 6: Final answer
    x = 7,740.99

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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.