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Finding the Fourth Proportional to 8,364.50, 12,547.60 and 2,208.50

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Solution

The fourth proportional to 8,364.50, 12,547.60 and 2,208.50 is: 3,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.50 : 12,547.60 = 2,208.50 : x
  2. Step 2: Convert to fraction form
    8,364.50/12,547.60 = 2,208.50/x
  3. Step 3: Cross multiply
    8,364.50x = 12,547.60 × 2,208.50
  4. Step 4: Simplify right side
    8,364.50x = 27,711,374.60
  5. Step 5: Solve for x
    x = 27,711,374.60/8,364.50
  6. Step 6: Final answer
    x = 3,312.97

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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.