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Finding the Fourth Proportional to 11,561.01, 15,954 and 6,456.25

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Solution

The fourth proportional to 11,561.01, 15,954 and 6,456.25 is: 8,909.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.01 : 15,954 = 6,456.25 : x
  2. Step 2: Convert to fraction form
    11,561.01/15,954 = 6,456.25/x
  3. Step 3: Cross multiply
    11,561.01x = 15,954 × 6,456.25
  4. Step 4: Simplify right side
    11,561.01x = 103,003,012.50
  5. Step 5: Solve for x
    x = 103,003,012.50/11,561.01
  6. Step 6: Final answer
    x = 8,909.52

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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.