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Finding the Fourth Proportional to 11,506.16, 15,868.74 and 9,722.39

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Solution

The fourth proportional to 11,506.16, 15,868.74 and 9,722.39 is: 13,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.16 : 15,868.74 = 9,722.39 : x
  2. Step 2: Convert to fraction form
    11,506.16/15,868.74 = 9,722.39/x
  3. Step 3: Cross multiply
    11,506.16x = 15,868.74 × 9,722.39
  4. Step 4: Simplify right side
    11,506.16x = 154,282,079.09
  5. Step 5: Solve for x
    x = 154,282,079.09/11,506.16
  6. Step 6: Final answer
    x = 13,408.65

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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.