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Finding the Fourth Proportional to 9,967.84, 14,971.20 and 8,120.32

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Solution

The fourth proportional to 9,967.84, 14,971.20 and 8,120.32 is: 12,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.84 : 14,971.20 = 8,120.32 : x
  2. Step 2: Convert to fraction form
    9,967.84/14,971.20 = 8,120.32/x
  3. Step 3: Cross multiply
    9,967.84x = 14,971.20 × 8,120.32
  4. Step 4: Simplify right side
    9,967.84x = 121,570,934.78
  5. Step 5: Solve for x
    x = 121,570,934.78/9,967.84
  6. Step 6: Final answer
    x = 12,196.32

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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.