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Finding the Fourth Proportional to 4,477.50, 6,718.71 and 2,169

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Solution

The fourth proportional to 4,477.50, 6,718.71 and 2,169 is: 3,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.50 : 6,718.71 = 2,169 : x
  2. Step 2: Convert to fraction form
    4,477.50/6,718.71 = 2,169/x
  3. Step 3: Cross multiply
    4,477.50x = 6,718.71 × 2,169
  4. Step 4: Simplify right side
    4,477.50x = 14,572,890.12
  5. Step 5: Solve for x
    x = 14,572,890.12/4,477.50
  6. Step 6: Final answer
    x = 3,254.69

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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.