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Finding the Fourth Proportional to 7,089.77, 9,785.08 and 4,107.42

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Solution

The fourth proportional to 7,089.77, 9,785.08 and 4,107.42 is: 5,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.77 : 9,785.08 = 4,107.42 : x
  2. Step 2: Convert to fraction form
    7,089.77/9,785.08 = 4,107.42/x
  3. Step 3: Cross multiply
    7,089.77x = 9,785.08 × 4,107.42
  4. Step 4: Simplify right side
    7,089.77x = 40,191,433.29
  5. Step 5: Solve for x
    x = 40,191,433.29/7,089.77
  6. Step 6: Final answer
    x = 5,668.93

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1.5x scale

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.