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Finding the Fourth Proportional to 13,705.20, 20,551.80 and 6,307.20

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Solution

The fourth proportional to 13,705.20, 20,551.80 and 6,307.20 is: 9,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.20 : 20,551.80 = 6,307.20 : x
  2. Step 2: Convert to fraction form
    13,705.20/20,551.80 = 6,307.20/x
  3. Step 3: Cross multiply
    13,705.20x = 20,551.80 × 6,307.20
  4. Step 4: Simplify right side
    13,705.20x = 129,624,312.96
  5. Step 5: Solve for x
    x = 129,624,312.96/13,705.20
  6. Step 6: Final answer
    x = 9,458.04

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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.