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Finding the Fourth Proportional to 38,498.40, 53,078.40 and 31,574.04

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Solution

The fourth proportional to 38,498.40, 53,078.40 and 31,574.04 is: 43,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498.40 : 53,078.40 = 31,574.04 : x
  2. Step 2: Convert to fraction form
    38,498.40/53,078.40 = 31,574.04/x
  3. Step 3: Cross multiply
    38,498.40x = 53,078.40 × 31,574.04
  4. Step 4: Simplify right side
    38,498.40x = 1,675,899,524.74
  5. Step 5: Solve for x
    x = 1,675,899,524.74/38,498.40
  6. Step 6: Final answer
    x = 43,531.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.