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Finding the Fourth Proportional to 7,603.46, 10,487 and 6,543

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Solution

The fourth proportional to 7,603.46, 10,487 and 6,543 is: 9,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.46 : 10,487 = 6,543 : x
  2. Step 2: Convert to fraction form
    7,603.46/10,487 = 6,543/x
  3. Step 3: Cross multiply
    7,603.46x = 10,487 × 6,543
  4. Step 4: Simplify right side
    7,603.46x = 68,616,441
  5. Step 5: Solve for x
    x = 68,616,441/7,603.46
  6. Step 6: Final answer
    x = 9,024.37

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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.