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Finding the Fourth Proportional to 23,470, 32,388.60 and 12,859.66

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Solution

The fourth proportional to 23,470, 32,388.60 and 12,859.66 is: 17,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470 : 32,388.60 = 12,859.66 : x
  2. Step 2: Convert to fraction form
    23,470/32,388.60 = 12,859.66/x
  3. Step 3: Cross multiply
    23,470x = 32,388.60 × 12,859.66
  4. Step 4: Simplify right side
    23,470x = 416,506,383.88
  5. Step 5: Solve for x
    x = 416,506,383.88/23,470
  6. Step 6: Final answer
    x = 17,746.33

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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.