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Finding the Fourth Proportional to 13,696.40, 20,547.60 and 5,376.40

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Solution

The fourth proportional to 13,696.40, 20,547.60 and 5,376.40 is: 8,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.40 : 20,547.60 = 5,376.40 : x
  2. Step 2: Convert to fraction form
    13,696.40/20,547.60 = 5,376.40/x
  3. Step 3: Cross multiply
    13,696.40x = 20,547.60 × 5,376.40
  4. Step 4: Simplify right side
    13,696.40x = 110,472,116.64
  5. Step 5: Solve for x
    x = 110,472,116.64/13,696.40
  6. Step 6: Final answer
    x = 8,065.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.