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Finding the Fourth Proportional to 30,984.17, 42,758.03 and 17,557.99

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Solution

The fourth proportional to 30,984.17, 42,758.03 and 17,557.99 is: 24,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984.17 : 42,758.03 = 17,557.99 : x
  2. Step 2: Convert to fraction form
    30,984.17/42,758.03 = 17,557.99/x
  3. Step 3: Cross multiply
    30,984.17x = 42,758.03 × 17,557.99
  4. Step 4: Simplify right side
    30,984.17x = 750,745,021.65
  5. Step 5: Solve for x
    x = 750,745,021.65/30,984.17
  6. Step 6: Final answer
    x = 24,229.95

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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.