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Finding the Fourth Proportional to 8,632.81, 12,946.40 and 2,788.05

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Solution

The fourth proportional to 8,632.81, 12,946.40 and 2,788.05 is: 4,181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.81 : 12,946.40 = 2,788.05 : x
  2. Step 2: Convert to fraction form
    8,632.81/12,946.40 = 2,788.05/x
  3. Step 3: Cross multiply
    8,632.81x = 12,946.40 × 2,788.05
  4. Step 4: Simplify right side
    8,632.81x = 36,095,210.52
  5. Step 5: Solve for x
    x = 36,095,210.52/8,632.81
  6. Step 6: Final answer
    x = 4,181.17

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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.