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Finding the Fourth Proportional to 7,164.64, 9,888.24 and 4,021.12

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Solution

The fourth proportional to 7,164.64, 9,888.24 and 4,021.12 is: 5,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.64 : 9,888.24 = 4,021.12 : x
  2. Step 2: Convert to fraction form
    7,164.64/9,888.24 = 4,021.12/x
  3. Step 3: Cross multiply
    7,164.64x = 9,888.24 × 4,021.12
  4. Step 4: Simplify right side
    7,164.64x = 39,761,799.63
  5. Step 5: Solve for x
    x = 39,761,799.63/7,164.64
  6. Step 6: Final answer
    x = 5,549.73

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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.