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Finding the Fourth Proportional to 15,268.64, 21,058.80 and 9,965.12

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Solution

The fourth proportional to 15,268.64, 21,058.80 and 9,965.12 is: 13,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,268.64 : 21,058.80 = 9,965.12 : x
  2. Step 2: Convert to fraction form
    15,268.64/21,058.80 = 9,965.12/x
  3. Step 3: Cross multiply
    15,268.64x = 21,058.80 × 9,965.12
  4. Step 4: Simplify right side
    15,268.64x = 209,853,469.06
  5. Step 5: Solve for x
    x = 209,853,469.06/15,268.64
  6. Step 6: Final answer
    x = 13,744.08

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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.