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Finding the Fourth Proportional to 7,319, 10,978.50 and 2,125.02

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Solution

The fourth proportional to 7,319, 10,978.50 and 2,125.02 is: 3,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319 : 10,978.50 = 2,125.02 : x
  2. Step 2: Convert to fraction form
    7,319/10,978.50 = 2,125.02/x
  3. Step 3: Cross multiply
    7,319x = 10,978.50 × 2,125.02
  4. Step 4: Simplify right side
    7,319x = 23,329,532.07
  5. Step 5: Solve for x
    x = 23,329,532.07/7,319
  6. Step 6: Final answer
    x = 3,187.53

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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.