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Finding the Fourth Proportional to 10,335.78, 15,489.74 and 5,648.75

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Solution

The fourth proportional to 10,335.78, 15,489.74 and 5,648.75 is: 8,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.78 : 15,489.74 = 5,648.75 : x
  2. Step 2: Convert to fraction form
    10,335.78/15,489.74 = 5,648.75/x
  3. Step 3: Cross multiply
    10,335.78x = 15,489.74 × 5,648.75
  4. Step 4: Simplify right side
    10,335.78x = 87,497,668.83
  5. Step 5: Solve for x
    x = 87,497,668.83/10,335.78
  6. Step 6: Final answer
    x = 8,465.51

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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.