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Finding the Fourth Proportional to 11,309.78, 15,607.50 and 6,341.78

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Solution

The fourth proportional to 11,309.78, 15,607.50 and 6,341.78 is: 8,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.78 : 15,607.50 = 6,341.78 : x
  2. Step 2: Convert to fraction form
    11,309.78/15,607.50 = 6,341.78/x
  3. Step 3: Cross multiply
    11,309.78x = 15,607.50 × 6,341.78
  4. Step 4: Simplify right side
    11,309.78x = 98,979,331.35
  5. Step 5: Solve for x
    x = 98,979,331.35/11,309.78
  6. Step 6: Final answer
    x = 8,751.66

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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.