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Finding the Fourth Proportional to 12,802.05, 17,682.71 and 9,853.65

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Solution

The fourth proportional to 12,802.05, 17,682.71 and 9,853.65 is: 13,610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.05 : 17,682.71 = 9,853.65 : x
  2. Step 2: Convert to fraction form
    12,802.05/17,682.71 = 9,853.65/x
  3. Step 3: Cross multiply
    12,802.05x = 17,682.71 × 9,853.65
  4. Step 4: Simplify right side
    12,802.05x = 174,239,186.12
  5. Step 5: Solve for x
    x = 174,239,186.12/12,802.05
  6. Step 6: Final answer
    x = 13,610.26

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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.