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Finding the Fourth Proportional to 10,494.68, 15,742.74 and 3,920.72

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Solution

The fourth proportional to 10,494.68, 15,742.74 and 3,920.72 is: 5,881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.68 : 15,742.74 = 3,920.72 : x
  2. Step 2: Convert to fraction form
    10,494.68/15,742.74 = 3,920.72/x
  3. Step 3: Cross multiply
    10,494.68x = 15,742.74 × 3,920.72
  4. Step 4: Simplify right side
    10,494.68x = 61,722,878.06
  5. Step 5: Solve for x
    x = 61,722,878.06/10,494.68
  6. Step 6: Final answer
    x = 5,881.35

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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.