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Finding the Fourth Proportional to 10,187.54, 15,281.78 and 5,266.79

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Solution

The fourth proportional to 10,187.54, 15,281.78 and 5,266.79 is: 7,900.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187.54 : 15,281.78 = 5,266.79 : x
  2. Step 2: Convert to fraction form
    10,187.54/15,281.78 = 5,266.79/x
  3. Step 3: Cross multiply
    10,187.54x = 15,281.78 × 5,266.79
  4. Step 4: Simplify right side
    10,187.54x = 80,485,823.34
  5. Step 5: Solve for x
    x = 80,485,823.34/10,187.54
  6. Step 6: Final answer
    x = 7,900.42

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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.