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Finding the Fourth Proportional to 15,972.16, 22,040.66 and 9,164.74

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Solution

The fourth proportional to 15,972.16, 22,040.66 and 9,164.74 is: 12,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,972.16 : 22,040.66 = 9,164.74 : x
  2. Step 2: Convert to fraction form
    15,972.16/22,040.66 = 9,164.74/x
  3. Step 3: Cross multiply
    15,972.16x = 22,040.66 × 9,164.74
  4. Step 4: Simplify right side
    15,972.16x = 201,996,840.31
  5. Step 5: Solve for x
    x = 201,996,840.31/15,972.16
  6. Step 6: Final answer
    x = 12,646.81

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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.