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Finding the Fourth Proportional to 7,089.66, 9,784.78 and 4,105.62

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Solution

The fourth proportional to 7,089.66, 9,784.78 and 4,105.62 is: 5,666.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.66 : 9,784.78 = 4,105.62 : x
  2. Step 2: Convert to fraction form
    7,089.66/9,784.78 = 4,105.62/x
  3. Step 3: Cross multiply
    7,089.66x = 9,784.78 × 4,105.62
  4. Step 4: Simplify right side
    7,089.66x = 40,172,588.46
  5. Step 5: Solve for x
    x = 40,172,588.46/7,089.66
  6. Step 6: Final answer
    x = 5,666.36

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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.