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Finding the Fourth Proportional to 10,502, 15,751.36 and 3,485.04

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Solution

The fourth proportional to 10,502, 15,751.36 and 3,485.04 is: 5,227.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502 : 15,751.36 = 3,485.04 : x
  2. Step 2: Convert to fraction form
    10,502/15,751.36 = 3,485.04/x
  3. Step 3: Cross multiply
    10,502x = 15,751.36 × 3,485.04
  4. Step 4: Simplify right side
    10,502x = 54,894,119.65
  5. Step 5: Solve for x
    x = 54,894,119.65/10,502
  6. Step 6: Final answer
    x = 5,227.02

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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.