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Finding the Fourth Proportional to 15,971.78, 22,041.06 and 9,258.68

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Solution

The fourth proportional to 15,971.78, 22,041.06 and 9,258.68 is: 12,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971.78 : 22,041.06 = 9,258.68 : x
  2. Step 2: Convert to fraction form
    15,971.78/22,041.06 = 9,258.68/x
  3. Step 3: Cross multiply
    15,971.78x = 22,041.06 × 9,258.68
  4. Step 4: Simplify right side
    15,971.78x = 204,071,121.40
  5. Step 5: Solve for x
    x = 204,071,121.40/15,971.78
  6. Step 6: Final answer
    x = 12,776.98

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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.