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Finding the Fourth Proportional to 2,969.71, 4,455.62 and 1,389.84

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Solution

The fourth proportional to 2,969.71, 4,455.62 and 1,389.84 is: 2,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.71 : 4,455.62 = 1,389.84 : x
  2. Step 2: Convert to fraction form
    2,969.71/4,455.62 = 1,389.84/x
  3. Step 3: Cross multiply
    2,969.71x = 4,455.62 × 1,389.84
  4. Step 4: Simplify right side
    2,969.71x = 6,192,613.34
  5. Step 5: Solve for x
    x = 6,192,613.34/2,969.71
  6. Step 6: Final answer
    x = 2,085.26

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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.