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Finding the Fourth Proportional to 7,686.72, 10,602 and 5,297.46

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Solution

The fourth proportional to 7,686.72, 10,602 and 5,297.46 is: 7,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.72 : 10,602 = 5,297.46 : x
  2. Step 2: Convert to fraction form
    7,686.72/10,602 = 5,297.46/x
  3. Step 3: Cross multiply
    7,686.72x = 10,602 × 5,297.46
  4. Step 4: Simplify right side
    7,686.72x = 56,163,670.92
  5. Step 5: Solve for x
    x = 56,163,670.92/7,686.72
  6. Step 6: Final answer
    x = 7,306.58

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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.