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Finding the Fourth Proportional to 40,398, 60,599.16 and 12,698.16

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Solution

The fourth proportional to 40,398, 60,599.16 and 12,698.16 is: 19,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,398 : 60,599.16 = 12,698.16 : x
  2. Step 2: Convert to fraction form
    40,398/60,599.16 = 12,698.16/x
  3. Step 3: Cross multiply
    40,398x = 60,599.16 × 12,698.16
  4. Step 4: Simplify right side
    40,398x = 769,497,829.55
  5. Step 5: Solve for x
    x = 769,497,829.55/40,398
  6. Step 6: Final answer
    x = 19,047.92

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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.