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Finding the Fourth Proportional to 6,440.64, 9,603.27 and 6,324

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Solution

The fourth proportional to 6,440.64, 9,603.27 and 6,324 is: 9,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.64 : 9,603.27 = 6,324 : x
  2. Step 2: Convert to fraction form
    6,440.64/9,603.27 = 6,324/x
  3. Step 3: Cross multiply
    6,440.64x = 9,603.27 × 6,324
  4. Step 4: Simplify right side
    6,440.64x = 60,731,079.48
  5. Step 5: Solve for x
    x = 60,731,079.48/6,440.64
  6. Step 6: Final answer
    x = 9,429.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.