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Finding the Fourth Proportional to 9,603.50, 14,407.68 and 2,678

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Solution

The fourth proportional to 9,603.50, 14,407.68 and 2,678 is: 4,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.50 : 14,407.68 = 2,678 : x
  2. Step 2: Convert to fraction form
    9,603.50/14,407.68 = 2,678/x
  3. Step 3: Cross multiply
    9,603.50x = 14,407.68 × 2,678
  4. Step 4: Simplify right side
    9,603.50x = 38,583,767.04
  5. Step 5: Solve for x
    x = 38,583,767.04/9,603.50
  6. Step 6: Final answer
    x = 4,017.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.