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Finding the Fourth Proportional to 30,891, 42,627.36 and 17,462.76

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Solution

The fourth proportional to 30,891, 42,627.36 and 17,462.76 is: 24,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891 : 42,627.36 = 17,462.76 : x
  2. Step 2: Convert to fraction form
    30,891/42,627.36 = 17,462.76/x
  3. Step 3: Cross multiply
    30,891x = 42,627.36 × 17,462.76
  4. Step 4: Simplify right side
    30,891x = 744,391,357.11
  5. Step 5: Solve for x
    x = 744,391,357.11/30,891
  6. Step 6: Final answer
    x = 24,097.35

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1.5x scale

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.