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Finding the Fourth Proportional to 2,159.71, 2,980.85 and 1,404.44

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Solution

The fourth proportional to 2,159.71, 2,980.85 and 1,404.44 is: 1,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.71 : 2,980.85 = 1,404.44 : x
  2. Step 2: Convert to fraction form
    2,159.71/2,980.85 = 1,404.44/x
  3. Step 3: Cross multiply
    2,159.71x = 2,980.85 × 1,404.44
  4. Step 4: Simplify right side
    2,159.71x = 4,186,422.13
  5. Step 5: Solve for x
    x = 4,186,422.13/2,159.71
  6. Step 6: Final answer
    x = 1,938.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.