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Finding the Fourth Proportional to 1,684.42, 2,323.35 and 1,545

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Solution

The fourth proportional to 1,684.42, 2,323.35 and 1,545 is: 2,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.42 : 2,323.35 = 1,545 : x
  2. Step 2: Convert to fraction form
    1,684.42/2,323.35 = 1,545/x
  3. Step 3: Cross multiply
    1,684.42x = 2,323.35 × 1,545
  4. Step 4: Simplify right side
    1,684.42x = 3,589,575.75
  5. Step 5: Solve for x
    x = 3,589,575.75/1,684.42
  6. Step 6: Final answer
    x = 2,131.05

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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.