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Finding the Fourth Proportional to 35,978.73, 53,980.05 and 15,985.44

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Solution

The fourth proportional to 35,978.73, 53,980.05 and 15,985.44 is: 23,983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.73 : 53,980.05 = 15,985.44 : x
  2. Step 2: Convert to fraction form
    35,978.73/53,980.05 = 15,985.44/x
  3. Step 3: Cross multiply
    35,978.73x = 53,980.05 × 15,985.44
  4. Step 4: Simplify right side
    35,978.73x = 862,894,985.42
  5. Step 5: Solve for x
    x = 862,894,985.42/35,978.73
  6. Step 6: Final answer
    x = 23,983.47

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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.