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Finding the Fourth Proportional to 23,031.35, 31,783.07 and 12,959.60

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Solution

The fourth proportional to 23,031.35, 31,783.07 and 12,959.60 is: 17,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,031.35 : 31,783.07 = 12,959.60 : x
  2. Step 2: Convert to fraction form
    23,031.35/31,783.07 = 12,959.60/x
  3. Step 3: Cross multiply
    23,031.35x = 31,783.07 × 12,959.60
  4. Step 4: Simplify right side
    23,031.35x = 411,895,650.26
  5. Step 5: Solve for x
    x = 411,895,650.26/23,031.35
  6. Step 6: Final answer
    x = 17,884.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.