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Finding the Fourth Proportional to 39,985, 59,977.50 and 12,283

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Solution

The fourth proportional to 39,985, 59,977.50 and 12,283 is: 18,424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,985 : 59,977.50 = 12,283 : x
  2. Step 2: Convert to fraction form
    39,985/59,977.50 = 12,283/x
  3. Step 3: Cross multiply
    39,985x = 59,977.50 × 12,283
  4. Step 4: Simplify right side
    39,985x = 736,703,632.50
  5. Step 5: Solve for x
    x = 736,703,632.50/39,985
  6. Step 6: Final answer
    x = 18,424.50

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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.