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Finding the Fourth Proportional to 35,395.44, 53,102.42 and 13,209

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Solution

The fourth proportional to 35,395.44, 53,102.42 and 13,209 is: 19,816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,395.44 : 53,102.42 = 13,209 : x
  2. Step 2: Convert to fraction form
    35,395.44/53,102.42 = 13,209/x
  3. Step 3: Cross multiply
    35,395.44x = 53,102.42 × 13,209
  4. Step 4: Simplify right side
    35,395.44x = 701,429,799.74
  5. Step 5: Solve for x
    x = 701,429,799.74/35,395.44
  6. Step 6: Final answer
    x = 19,816.95

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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.