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Finding the Fourth Proportional to 7,048.79, 9,727.71 and 3,905

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Solution

The fourth proportional to 7,048.79, 9,727.71 and 3,905 is: 5,389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.79 : 9,727.71 = 3,905 : x
  2. Step 2: Convert to fraction form
    7,048.79/9,727.71 = 3,905/x
  3. Step 3: Cross multiply
    7,048.79x = 9,727.71 × 3,905
  4. Step 4: Simplify right side
    7,048.79x = 37,986,707.55
  5. Step 5: Solve for x
    x = 37,986,707.55/7,048.79
  6. Step 6: Final answer
    x = 5,389.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.