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Finding the Fourth Proportional to 13,465.92, 18,582.48 and 7,876.80

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Solution

The fourth proportional to 13,465.92, 18,582.48 and 7,876.80 is: 10,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.92 : 18,582.48 = 7,876.80 : x
  2. Step 2: Convert to fraction form
    13,465.92/18,582.48 = 7,876.80/x
  3. Step 3: Cross multiply
    13,465.92x = 18,582.48 × 7,876.80
  4. Step 4: Simplify right side
    13,465.92x = 146,370,478.46
  5. Step 5: Solve for x
    x = 146,370,478.46/13,465.92
  6. Step 6: Final answer
    x = 10,869.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.