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Finding the Fourth Proportional to 11,306.25, 15,602.63 and 6,890.25

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Solution

The fourth proportional to 11,306.25, 15,602.63 and 6,890.25 is: 9,508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.25 : 15,602.63 = 6,890.25 : x
  2. Step 2: Convert to fraction form
    11,306.25/15,602.63 = 6,890.25/x
  3. Step 3: Cross multiply
    11,306.25x = 15,602.63 × 6,890.25
  4. Step 4: Simplify right side
    11,306.25x = 107,505,986.91
  5. Step 5: Solve for x
    x = 107,505,986.91/11,306.25
  6. Step 6: Final answer
    x = 9,508.55

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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.