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Finding the Fourth Proportional to 12,967.68, 17,892.48 and 8,778.24

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Solution

The fourth proportional to 12,967.68, 17,892.48 and 8,778.24 is: 12,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.68 : 17,892.48 = 8,778.24 : x
  2. Step 2: Convert to fraction form
    12,967.68/17,892.48 = 8,778.24/x
  3. Step 3: Cross multiply
    12,967.68x = 17,892.48 × 8,778.24
  4. Step 4: Simplify right side
    12,967.68x = 157,064,483.64
  5. Step 5: Solve for x
    x = 157,064,483.64/12,967.68
  6. Step 6: Final answer
    x = 12,112.00

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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.