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Finding the Fourth Proportional to 39,478.50, 59,246.91 and 18,702

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Solution

The fourth proportional to 39,478.50, 59,246.91 and 18,702 is: 28,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,478.50 : 59,246.91 = 18,702 : x
  2. Step 2: Convert to fraction form
    39,478.50/59,246.91 = 18,702/x
  3. Step 3: Cross multiply
    39,478.50x = 59,246.91 × 18,702
  4. Step 4: Simplify right side
    39,478.50x = 1,108,035,710.82
  5. Step 5: Solve for x
    x = 1,108,035,710.82/39,478.50
  6. Step 6: Final answer
    x = 28,066.81

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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.