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Finding the Fourth Proportional to 2,154.31, 2,973.84 and 1,524.94

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Solution

The fourth proportional to 2,154.31, 2,973.84 and 1,524.94 is: 2,105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.31 : 2,973.84 = 1,524.94 : x
  2. Step 2: Convert to fraction form
    2,154.31/2,973.84 = 1,524.94/x
  3. Step 3: Cross multiply
    2,154.31x = 2,973.84 × 1,524.94
  4. Step 4: Simplify right side
    2,154.31x = 4,534,927.57
  5. Step 5: Solve for x
    x = 4,534,927.57/2,154.31
  6. Step 6: Final answer
    x = 2,105.05

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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.