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Finding the Fourth Proportional to 30,921.71, 42,672.04 and 16,774.55

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Solution

The fourth proportional to 30,921.71, 42,672.04 and 16,774.55 is: 23,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.71 : 42,672.04 = 16,774.55 : x
  2. Step 2: Convert to fraction form
    30,921.71/42,672.04 = 16,774.55/x
  3. Step 3: Cross multiply
    30,921.71x = 42,672.04 × 16,774.55
  4. Step 4: Simplify right side
    30,921.71x = 715,804,293.32
  5. Step 5: Solve for x
    x = 715,804,293.32/30,921.71
  6. Step 6: Final answer
    x = 23,148.92

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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.