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Finding the Fourth Proportional to 10,384.80, 15,564.96 and 5,180

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Solution

The fourth proportional to 10,384.80, 15,564.96 and 5,180 is: 7,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.80 : 15,564.96 = 5,180 : x
  2. Step 2: Convert to fraction form
    10,384.80/15,564.96 = 5,180/x
  3. Step 3: Cross multiply
    10,384.80x = 15,564.96 × 5,180
  4. Step 4: Simplify right side
    10,384.80x = 80,626,492.80
  5. Step 5: Solve for x
    x = 80,626,492.80/10,384.80
  6. Step 6: Final answer
    x = 7,763.89

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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.