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Finding the Fourth Proportional to 22,960, 31,683.44 and 12,886.32

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Solution

The fourth proportional to 22,960, 31,683.44 and 12,886.32 is: 17,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,960 : 31,683.44 = 12,886.32 : x
  2. Step 2: Convert to fraction form
    22,960/31,683.44 = 12,886.32/x
  3. Step 3: Cross multiply
    22,960x = 31,683.44 × 12,886.32
  4. Step 4: Simplify right side
    22,960x = 408,282,946.54
  5. Step 5: Solve for x
    x = 408,282,946.54/22,960
  6. Step 6: Final answer
    x = 17,782.36

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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.