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Finding the Fourth Proportional to 11,111, 15,331.08 and 6,865.74

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Solution

The fourth proportional to 11,111, 15,331.08 and 6,865.74 is: 9,473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,111 : 15,331.08 = 6,865.74 : x
  2. Step 2: Convert to fraction form
    11,111/15,331.08 = 6,865.74/x
  3. Step 3: Cross multiply
    11,111x = 15,331.08 × 6,865.74
  4. Step 4: Simplify right side
    11,111x = 105,259,209.20
  5. Step 5: Solve for x
    x = 105,259,209.20/11,111
  6. Step 6: Final answer
    x = 9,473.42

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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.