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Finding the Fourth Proportional to 13,718.82, 18,931.80 and 8,339.47

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Solution

The fourth proportional to 13,718.82, 18,931.80 and 8,339.47 is: 11,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.82 : 18,931.80 = 8,339.47 : x
  2. Step 2: Convert to fraction form
    13,718.82/18,931.80 = 8,339.47/x
  3. Step 3: Cross multiply
    13,718.82x = 18,931.80 × 8,339.47
  4. Step 4: Simplify right side
    13,718.82x = 157,881,178.15
  5. Step 5: Solve for x
    x = 157,881,178.15/13,718.82
  6. Step 6: Final answer
    x = 11,508.36

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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.