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Finding the Fourth Proportional to 7,312, 10,969.14 and 2,380.48

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Solution

The fourth proportional to 7,312, 10,969.14 and 2,380.48 is: 3,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312 : 10,969.14 = 2,380.48 : x
  2. Step 2: Convert to fraction form
    7,312/10,969.14 = 2,380.48/x
  3. Step 3: Cross multiply
    7,312x = 10,969.14 × 2,380.48
  4. Step 4: Simplify right side
    7,312x = 26,111,763.54
  5. Step 5: Solve for x
    x = 26,111,763.54/7,312
  6. Step 6: Final answer
    x = 3,571.08

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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.