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Finding the Fourth Proportional to 12,603.42, 18,891.95 and 4,702.50

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Solution

The fourth proportional to 12,603.42, 18,891.95 and 4,702.50 is: 7,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603.42 : 18,891.95 = 4,702.50 : x
  2. Step 2: Convert to fraction form
    12,603.42/18,891.95 = 4,702.50/x
  3. Step 3: Cross multiply
    12,603.42x = 18,891.95 × 4,702.50
  4. Step 4: Simplify right side
    12,603.42x = 88,839,371.36
  5. Step 5: Solve for x
    x = 88,839,371.36/12,603.42
  6. Step 6: Final answer
    x = 7,048.83

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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.