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Finding the Fourth Proportional to 30,703.76, 42,372.84 and 17,275.88

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Solution

The fourth proportional to 30,703.76, 42,372.84 and 17,275.88 is: 23,841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,703.76 : 42,372.84 = 17,275.88 : x
  2. Step 2: Convert to fraction form
    30,703.76/42,372.84 = 17,275.88/x
  3. Step 3: Cross multiply
    30,703.76x = 42,372.84 × 17,275.88
  4. Step 4: Simplify right side
    30,703.76x = 732,028,099.10
  5. Step 5: Solve for x
    x = 732,028,099.10/30,703.76
  6. Step 6: Final answer
    x = 23,841.64

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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.