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Finding the Fourth Proportional to 11,530.48, 15,911.16 and 6,494.48

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Solution

The fourth proportional to 11,530.48, 15,911.16 and 6,494.48 is: 8,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.48 : 15,911.16 = 6,494.48 : x
  2. Step 2: Convert to fraction form
    11,530.48/15,911.16 = 6,494.48/x
  3. Step 3: Cross multiply
    11,530.48x = 15,911.16 × 6,494.48
  4. Step 4: Simplify right side
    11,530.48x = 103,334,710.40
  5. Step 5: Solve for x
    x = 103,334,710.40/11,530.48
  6. Step 6: Final answer
    x = 8,961.87

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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.