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Finding the Fourth Proportional to 15,981, 22,055.42 and 9,609.68

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Solution

The fourth proportional to 15,981, 22,055.42 and 9,609.68 is: 13,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,981 : 22,055.42 = 9,609.68 : x
  2. Step 2: Convert to fraction form
    15,981/22,055.42 = 9,609.68/x
  3. Step 3: Cross multiply
    15,981x = 22,055.42 × 9,609.68
  4. Step 4: Simplify right side
    15,981x = 211,945,528.47
  5. Step 5: Solve for x
    x = 211,945,528.47/15,981
  6. Step 6: Final answer
    x = 13,262.34

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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.