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Finding the Fourth Proportional to 11,215.64, 15,468.49 and 9,868.34

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Solution

The fourth proportional to 11,215.64, 15,468.49 and 9,868.34 is: 13,610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215.64 : 15,468.49 = 9,868.34 : x
  2. Step 2: Convert to fraction form
    11,215.64/15,468.49 = 9,868.34/x
  3. Step 3: Cross multiply
    11,215.64x = 15,468.49 × 9,868.34
  4. Step 4: Simplify right side
    11,215.64x = 152,648,318.61
  5. Step 5: Solve for x
    x = 152,648,318.61/11,215.64
  6. Step 6: Final answer
    x = 13,610.31

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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.