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Finding the Fourth Proportional to 9,981.16, 13,771.14 and 6,446.44

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Solution

The fourth proportional to 9,981.16, 13,771.14 and 6,446.44 is: 8,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.16 : 13,771.14 = 6,446.44 : x
  2. Step 2: Convert to fraction form
    9,981.16/13,771.14 = 6,446.44/x
  3. Step 3: Cross multiply
    9,981.16x = 13,771.14 × 6,446.44
  4. Step 4: Simplify right side
    9,981.16x = 88,774,827.74
  5. Step 5: Solve for x
    x = 88,774,827.74/9,981.16
  6. Step 6: Final answer
    x = 8,894.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.