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Finding the Fourth Proportional to 39,605.16, 59,407.74 and 13,309.98

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Solution

The fourth proportional to 39,605.16, 59,407.74 and 13,309.98 is: 19,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,605.16 : 59,407.74 = 13,309.98 : x
  2. Step 2: Convert to fraction form
    39,605.16/59,407.74 = 13,309.98/x
  3. Step 3: Cross multiply
    39,605.16x = 59,407.74 × 13,309.98
  4. Step 4: Simplify right side
    39,605.16x = 790,715,831.25
  5. Step 5: Solve for x
    x = 790,715,831.25/39,605.16
  6. Step 6: Final answer
    x = 19,964.97

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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.