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Finding the Fourth Proportional to 8,769.82, 13,154.37 and 4,871.74

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Solution

The fourth proportional to 8,769.82, 13,154.37 and 4,871.74 is: 7,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769.82 : 13,154.37 = 4,871.74 : x
  2. Step 2: Convert to fraction form
    8,769.82/13,154.37 = 4,871.74/x
  3. Step 3: Cross multiply
    8,769.82x = 13,154.37 × 4,871.74
  4. Step 4: Simplify right side
    8,769.82x = 64,084,670.50
  5. Step 5: Solve for x
    x = 64,084,670.50/8,769.82
  6. Step 6: Final answer
    x = 7,307.41

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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.