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Finding the Fourth Proportional to 20,807.84, 31,197.18 and 7,658.50

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Solution

The fourth proportional to 20,807.84, 31,197.18 and 7,658.50 is: 11,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.84 : 31,197.18 = 7,658.50 : x
  2. Step 2: Convert to fraction form
    20,807.84/31,197.18 = 7,658.50/x
  3. Step 3: Cross multiply
    20,807.84x = 31,197.18 × 7,658.50
  4. Step 4: Simplify right side
    20,807.84x = 238,923,603.03
  5. Step 5: Solve for x
    x = 238,923,603.03/20,807.84
  6. Step 6: Final answer
    x = 11,482.38

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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.