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Finding the Fourth Proportional to 8,521.02, 12,784.16 and 4,363.95

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Solution

The fourth proportional to 8,521.02, 12,784.16 and 4,363.95 is: 6,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.02 : 12,784.16 = 4,363.95 : x
  2. Step 2: Convert to fraction form
    8,521.02/12,784.16 = 4,363.95/x
  3. Step 3: Cross multiply
    8,521.02x = 12,784.16 × 4,363.95
  4. Step 4: Simplify right side
    8,521.02x = 55,789,435.03
  5. Step 5: Solve for x
    x = 55,789,435.03/8,521.02
  6. Step 6: Final answer
    x = 6,547.27

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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.