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Finding the Fourth Proportional to 11,509.84, 15,863.16 and 9,912.40

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Solution

The fourth proportional to 11,509.84, 15,863.16 and 9,912.40 is: 13,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.84 : 15,863.16 = 9,912.40 : x
  2. Step 2: Convert to fraction form
    11,509.84/15,863.16 = 9,912.40/x
  3. Step 3: Cross multiply
    11,509.84x = 15,863.16 × 9,912.40
  4. Step 4: Simplify right side
    11,509.84x = 157,241,987.18
  5. Step 5: Solve for x
    x = 157,241,987.18/11,509.84
  6. Step 6: Final answer
    x = 13,661.53

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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.