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Finding the Fourth Proportional to 19,985, 29,977.50 and 5,393

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Solution

The fourth proportional to 19,985, 29,977.50 and 5,393 is: 8,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985 : 29,977.50 = 5,393 : x
  2. Step 2: Convert to fraction form
    19,985/29,977.50 = 5,393/x
  3. Step 3: Cross multiply
    19,985x = 29,977.50 × 5,393
  4. Step 4: Simplify right side
    19,985x = 161,668,657.50
  5. Step 5: Solve for x
    x = 161,668,657.50/19,985
  6. Step 6: Final answer
    x = 8,089.50

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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.