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Finding the Fourth Proportional to 5,658.73, 7,809.05 and 3,140.83

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Solution

The fourth proportional to 5,658.73, 7,809.05 and 3,140.83 is: 4,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.73 : 7,809.05 = 3,140.83 : x
  2. Step 2: Convert to fraction form
    5,658.73/7,809.05 = 3,140.83/x
  3. Step 3: Cross multiply
    5,658.73x = 7,809.05 × 3,140.83
  4. Step 4: Simplify right side
    5,658.73x = 24,526,898.51
  5. Step 5: Solve for x
    x = 24,526,898.51/5,658.73
  6. Step 6: Final answer
    x = 4,334.35

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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.