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Finding the Fourth Proportional to 12,603.52, 18,907.68 and 5,678

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Solution

The fourth proportional to 12,603.52, 18,907.68 and 5,678 is: 8,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603.52 : 18,907.68 = 5,678 : x
  2. Step 2: Convert to fraction form
    12,603.52/18,907.68 = 5,678/x
  3. Step 3: Cross multiply
    12,603.52x = 18,907.68 × 5,678
  4. Step 4: Simplify right side
    12,603.52x = 107,357,807.04
  5. Step 5: Solve for x
    x = 107,357,807.04/12,603.52
  6. Step 6: Final answer
    x = 8,518.08

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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.