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Finding the Fourth Proportional to 13,416.54, 18,513.89 and 7,447.74

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Solution

The fourth proportional to 13,416.54, 18,513.89 and 7,447.74 is: 10,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.54 : 18,513.89 = 7,447.74 : x
  2. Step 2: Convert to fraction form
    13,416.54/18,513.89 = 7,447.74/x
  3. Step 3: Cross multiply
    13,416.54x = 18,513.89 × 7,447.74
  4. Step 4: Simplify right side
    13,416.54x = 137,886,639.11
  5. Step 5: Solve for x
    x = 137,886,639.11/13,416.54
  6. Step 6: Final answer
    x = 10,277.36

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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.