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Finding the Fourth Proportional to 19,205, 28,807.50 and 4,613

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Solution

The fourth proportional to 19,205, 28,807.50 and 4,613 is: 6,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205 : 28,807.50 = 4,613 : x
  2. Step 2: Convert to fraction form
    19,205/28,807.50 = 4,613/x
  3. Step 3: Cross multiply
    19,205x = 28,807.50 × 4,613
  4. Step 4: Simplify right side
    19,205x = 132,888,997.50
  5. Step 5: Solve for x
    x = 132,888,997.50/19,205
  6. Step 6: Final answer
    x = 6,919.50

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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.