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Finding the Fourth Proportional to 22,811.60, 31,480.16 and 12,740.16

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Solution

The fourth proportional to 22,811.60, 31,480.16 and 12,740.16 is: 17,581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,811.60 : 31,480.16 = 12,740.16 : x
  2. Step 2: Convert to fraction form
    22,811.60/31,480.16 = 12,740.16/x
  3. Step 3: Cross multiply
    22,811.60x = 31,480.16 × 12,740.16
  4. Step 4: Simplify right side
    22,811.60x = 401,062,275.23
  5. Step 5: Solve for x
    x = 401,062,275.23/22,811.60
  6. Step 6: Final answer
    x = 17,581.51

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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.