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Finding the Fourth Proportional to 35,894.40, 53,843.20 and 13,718.40

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Solution

The fourth proportional to 35,894.40, 53,843.20 and 13,718.40 is: 20,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.40 : 53,843.20 = 13,718.40 : x
  2. Step 2: Convert to fraction form
    35,894.40/53,843.20 = 13,718.40/x
  3. Step 3: Cross multiply
    35,894.40x = 53,843.20 × 13,718.40
  4. Step 4: Simplify right side
    35,894.40x = 738,642,554.88
  5. Step 5: Solve for x
    x = 738,642,554.88/35,894.40
  6. Step 6: Final answer
    x = 20,578.21

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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.