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Finding the Fourth Proportional to 12,235.77, 18,356.74 and 3,470.76

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Solution

The fourth proportional to 12,235.77, 18,356.74 and 3,470.76 is: 5,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.77 : 18,356.74 = 3,470.76 : x
  2. Step 2: Convert to fraction form
    12,235.77/18,356.74 = 3,470.76/x
  3. Step 3: Cross multiply
    12,235.77x = 18,356.74 × 3,470.76
  4. Step 4: Simplify right side
    12,235.77x = 63,711,830.25
  5. Step 5: Solve for x
    x = 63,711,830.25/12,235.77
  6. Step 6: Final answer
    x = 5,207.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.