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Finding the Fourth Proportional to 11,398.16, 15,738.36 and 8,741.36

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Solution

The fourth proportional to 11,398.16, 15,738.36 and 8,741.36 is: 12,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.16 : 15,738.36 = 8,741.36 : x
  2. Step 2: Convert to fraction form
    11,398.16/15,738.36 = 8,741.36/x
  3. Step 3: Cross multiply
    11,398.16x = 15,738.36 × 8,741.36
  4. Step 4: Simplify right side
    11,398.16x = 137,574,670.57
  5. Step 5: Solve for x
    x = 137,574,670.57/11,398.16
  6. Step 6: Final answer
    x = 12,069.90

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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.