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Finding the Fourth Proportional to 13,691.16, 18,895.74 and 8,316.31

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Solution

The fourth proportional to 13,691.16, 18,895.74 and 8,316.31 is: 11,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.16 : 18,895.74 = 8,316.31 : x
  2. Step 2: Convert to fraction form
    13,691.16/18,895.74 = 8,316.31/x
  3. Step 3: Cross multiply
    13,691.16x = 18,895.74 × 8,316.31
  4. Step 4: Simplify right side
    13,691.16x = 157,142,831.52
  5. Step 5: Solve for x
    x = 157,142,831.52/13,691.16
  6. Step 6: Final answer
    x = 11,477.69

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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.