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Finding the Fourth Proportional to 30,492.71, 42,074.40 and 17,569.97

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Solution

The fourth proportional to 30,492.71, 42,074.40 and 17,569.97 is: 24,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.71 : 42,074.40 = 17,569.97 : x
  2. Step 2: Convert to fraction form
    30,492.71/42,074.40 = 17,569.97/x
  3. Step 3: Cross multiply
    30,492.71x = 42,074.40 × 17,569.97
  4. Step 4: Simplify right side
    30,492.71x = 739,246,050.95
  5. Step 5: Solve for x
    x = 739,246,050.95/30,492.71
  6. Step 6: Final answer
    x = 24,243.37

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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.