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Finding the Fourth Proportional to 15,951.51, 22,012.76 and 9,986.46

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Solution

The fourth proportional to 15,951.51, 22,012.76 and 9,986.46 is: 13,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,951.51 : 22,012.76 = 9,986.46 : x
  2. Step 2: Convert to fraction form
    15,951.51/22,012.76 = 9,986.46/x
  3. Step 3: Cross multiply
    15,951.51x = 22,012.76 × 9,986.46
  4. Step 4: Simplify right side
    15,951.51x = 219,829,497.30
  5. Step 5: Solve for x
    x = 219,829,497.30/15,951.51
  6. Step 6: Final answer
    x = 13,781.11

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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.