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Finding the Fourth Proportional to 22,758.92, 31,407.44 and 12,688

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Solution

The fourth proportional to 22,758.92, 31,407.44 and 12,688 is: 17,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.92 : 31,407.44 = 12,688 : x
  2. Step 2: Convert to fraction form
    22,758.92/31,407.44 = 12,688/x
  3. Step 3: Cross multiply
    22,758.92x = 31,407.44 × 12,688
  4. Step 4: Simplify right side
    22,758.92x = 398,497,598.72
  5. Step 5: Solve for x
    x = 398,497,598.72/22,758.92
  6. Step 6: Final answer
    x = 17,509.51

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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.