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Finding the Fourth Proportional to 3,784.34, 5,678.40 and 2,470.66

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Solution

The fourth proportional to 3,784.34, 5,678.40 and 2,470.66 is: 3,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.34 : 5,678.40 = 2,470.66 : x
  2. Step 2: Convert to fraction form
    3,784.34/5,678.40 = 2,470.66/x
  3. Step 3: Cross multiply
    3,784.34x = 5,678.40 × 2,470.66
  4. Step 4: Simplify right side
    3,784.34x = 14,029,395.74
  5. Step 5: Solve for x
    x = 14,029,395.74/3,784.34
  6. Step 6: Final answer
    x = 3,707.22

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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.