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Finding the Fourth Proportional to 10,505.69, 15,758.53 and 3,934.97

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Solution

The fourth proportional to 10,505.69, 15,758.53 and 3,934.97 is: 5,902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.69 : 15,758.53 = 3,934.97 : x
  2. Step 2: Convert to fraction form
    10,505.69/15,758.53 = 3,934.97/x
  3. Step 3: Cross multiply
    10,505.69x = 15,758.53 × 3,934.97
  4. Step 4: Simplify right side
    10,505.69x = 62,009,342.79
  5. Step 5: Solve for x
    x = 62,009,342.79/10,505.69
  6. Step 6: Final answer
    x = 5,902.45

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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.