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Finding the Fourth Proportional to 1,545, 2,127.42 and 1,323.51

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Solution

The fourth proportional to 1,545, 2,127.42 and 1,323.51 is: 1,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545 : 2,127.42 = 1,323.51 : x
  2. Step 2: Convert to fraction form
    1,545/2,127.42 = 1,323.51/x
  3. Step 3: Cross multiply
    1,545x = 2,127.42 × 1,323.51
  4. Step 4: Simplify right side
    1,545x = 2,815,661.64
  5. Step 5: Solve for x
    x = 2,815,661.64/1,545
  6. Step 6: Final answer
    x = 1,822.43

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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.