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Finding the Fourth Proportional to 9,978.39, 14,967.74 and 2,959.12

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Solution

The fourth proportional to 9,978.39, 14,967.74 and 2,959.12 is: 4,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.39 : 14,967.74 = 2,959.12 : x
  2. Step 2: Convert to fraction form
    9,978.39/14,967.74 = 2,959.12/x
  3. Step 3: Cross multiply
    9,978.39x = 14,967.74 × 2,959.12
  4. Step 4: Simplify right side
    9,978.39x = 44,291,338.79
  5. Step 5: Solve for x
    x = 44,291,338.79/9,978.39
  6. Step 6: Final answer
    x = 4,438.73

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1.5x scale

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.