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Finding the Fourth Proportional to 12,842.32, 17,722.50 and 7,253.32

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Solution

The fourth proportional to 12,842.32, 17,722.50 and 7,253.32 is: 10,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.32 : 17,722.50 = 7,253.32 : x
  2. Step 2: Convert to fraction form
    12,842.32/17,722.50 = 7,253.32/x
  3. Step 3: Cross multiply
    12,842.32x = 17,722.50 × 7,253.32
  4. Step 4: Simplify right side
    12,842.32x = 128,546,963.70
  5. Step 5: Solve for x
    x = 128,546,963.70/12,842.32
  6. Step 6: Final answer
    x = 10,009.64

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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.