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Finding the Fourth Proportional to 7,678, 10,595.64 and 4,534.24

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Solution

The fourth proportional to 7,678, 10,595.64 and 4,534.24 is: 6,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678 : 10,595.64 = 4,534.24 : x
  2. Step 2: Convert to fraction form
    7,678/10,595.64 = 4,534.24/x
  3. Step 3: Cross multiply
    7,678x = 10,595.64 × 4,534.24
  4. Step 4: Simplify right side
    7,678x = 48,043,174.71
  5. Step 5: Solve for x
    x = 48,043,174.71/7,678
  6. Step 6: Final answer
    x = 6,257.25

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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.