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Finding the Fourth Proportional to 35,985.98, 53,978.98 and 12,612.42

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Solution

The fourth proportional to 35,985.98, 53,978.98 and 12,612.42 is: 18,918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,985.98 : 53,978.98 = 12,612.42 : x
  2. Step 2: Convert to fraction form
    35,985.98/53,978.98 = 12,612.42/x
  3. Step 3: Cross multiply
    35,985.98x = 53,978.98 × 12,612.42
  4. Step 4: Simplify right side
    35,985.98x = 680,805,566.93
  5. Step 5: Solve for x
    x = 680,805,566.93/35,985.98
  6. Step 6: Final answer
    x = 18,918.63

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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.