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Finding the Fourth Proportional to 15,449.78, 21,322.98 and 9,785.06

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Solution

The fourth proportional to 15,449.78, 21,322.98 and 9,785.06 is: 13,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,449.78 : 21,322.98 = 9,785.06 : x
  2. Step 2: Convert to fraction form
    15,449.78/21,322.98 = 9,785.06/x
  3. Step 3: Cross multiply
    15,449.78x = 21,322.98 × 9,785.06
  4. Step 4: Simplify right side
    15,449.78x = 208,646,638.68
  5. Step 5: Solve for x
    x = 208,646,638.68/15,449.78
  6. Step 6: Final answer
    x = 13,504.83

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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.