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Finding the Fourth Proportional to 7,712.91, 10,644.30 and 4,355.87

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Solution

The fourth proportional to 7,712.91, 10,644.30 and 4,355.87 is: 6,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.91 : 10,644.30 = 4,355.87 : x
  2. Step 2: Convert to fraction form
    7,712.91/10,644.30 = 4,355.87/x
  3. Step 3: Cross multiply
    7,712.91x = 10,644.30 × 4,355.87
  4. Step 4: Simplify right side
    7,712.91x = 46,365,133.82
  5. Step 5: Solve for x
    x = 46,365,133.82/7,712.91
  6. Step 6: Final answer
    x = 6,011.37

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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.