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Finding the Fourth Proportional to 9,914.90, 14,843.13 and 8,684.71

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Solution

The fourth proportional to 9,914.90, 14,843.13 and 8,684.71 is: 13,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.90 : 14,843.13 = 8,684.71 : x
  2. Step 2: Convert to fraction form
    9,914.90/14,843.13 = 8,684.71/x
  3. Step 3: Cross multiply
    9,914.90x = 14,843.13 × 8,684.71
  4. Step 4: Simplify right side
    9,914.90x = 128,908,316.65
  5. Step 5: Solve for x
    x = 128,908,316.65/9,914.90
  6. Step 6: Final answer
    x = 13,001.47

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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.