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Finding the Fourth Proportional to 11,300.78, 15,600.94 and 8,777.24

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Solution

The fourth proportional to 11,300.78, 15,600.94 and 8,777.24 is: 12,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.78 : 15,600.94 = 8,777.24 : x
  2. Step 2: Convert to fraction form
    11,300.78/15,600.94 = 8,777.24/x
  3. Step 3: Cross multiply
    11,300.78x = 15,600.94 × 8,777.24
  4. Step 4: Simplify right side
    11,300.78x = 136,933,094.66
  5. Step 5: Solve for x
    x = 136,933,094.66/11,300.78
  6. Step 6: Final answer
    x = 12,117.14

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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.