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Finding the Fourth Proportional to 35,513.10, 53,281.80 and 15,805.80

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Solution

The fourth proportional to 35,513.10, 53,281.80 and 15,805.80 is: 23,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,513.10 : 53,281.80 = 15,805.80 : x
  2. Step 2: Convert to fraction form
    35,513.10/53,281.80 = 15,805.80/x
  3. Step 3: Cross multiply
    35,513.10x = 53,281.80 × 15,805.80
  4. Step 4: Simplify right side
    35,513.10x = 842,161,474.44
  5. Step 5: Solve for x
    x = 842,161,474.44/35,513.10
  6. Step 6: Final answer
    x = 23,714.11

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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.