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Finding the Fourth Proportional to 17,946, 24,763.14 and 9,988.56

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Solution

The fourth proportional to 17,946, 24,763.14 and 9,988.56 is: 13,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946 : 24,763.14 = 9,988.56 : x
  2. Step 2: Convert to fraction form
    17,946/24,763.14 = 9,988.56/x
  3. Step 3: Cross multiply
    17,946x = 24,763.14 × 9,988.56
  4. Step 4: Simplify right side
    17,946x = 247,348,109.68
  5. Step 5: Solve for x
    x = 247,348,109.68/17,946
  6. Step 6: Final answer
    x = 13,782.91

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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.