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Finding the Fourth Proportional to 30,442.50, 42,010.74 and 17,194.50

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Solution

The fourth proportional to 30,442.50, 42,010.74 and 17,194.50 is: 23,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.50 : 42,010.74 = 17,194.50 : x
  2. Step 2: Convert to fraction form
    30,442.50/42,010.74 = 17,194.50/x
  3. Step 3: Cross multiply
    30,442.50x = 42,010.74 × 17,194.50
  4. Step 4: Simplify right side
    30,442.50x = 722,353,668.93
  5. Step 5: Solve for x
    x = 722,353,668.93/30,442.50
  6. Step 6: Final answer
    x = 23,728.46

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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.