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Finding the Fourth Proportional to 15,920.15, 21,963.47 and 9,204.53

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Solution

The fourth proportional to 15,920.15, 21,963.47 and 9,204.53 is: 12,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.15 : 21,963.47 = 9,204.53 : x
  2. Step 2: Convert to fraction form
    15,920.15/21,963.47 = 9,204.53/x
  3. Step 3: Cross multiply
    15,920.15x = 21,963.47 × 9,204.53
  4. Step 4: Simplify right side
    15,920.15x = 202,163,262.68
  5. Step 5: Solve for x
    x = 202,163,262.68/15,920.15
  6. Step 6: Final answer
    x = 12,698.58

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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.