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Finding the Fourth Proportional to 6,216, 9,316.40 and 2,924.72

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Solution

The fourth proportional to 6,216, 9,316.40 and 2,924.72 is: 4,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216 : 9,316.40 = 2,924.72 : x
  2. Step 2: Convert to fraction form
    6,216/9,316.40 = 2,924.72/x
  3. Step 3: Cross multiply
    6,216x = 9,316.40 × 2,924.72
  4. Step 4: Simplify right side
    6,216x = 27,247,861.41
  5. Step 5: Solve for x
    x = 27,247,861.41/6,216
  6. Step 6: Final answer
    x = 4,383.50

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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.