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Finding the Fourth Proportional to 1,548.90, 2,322.51 and 1,062.50

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Solution

The fourth proportional to 1,548.90, 2,322.51 and 1,062.50 is: 1,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.90 : 2,322.51 = 1,062.50 : x
  2. Step 2: Convert to fraction form
    1,548.90/2,322.51 = 1,062.50/x
  3. Step 3: Cross multiply
    1,548.90x = 2,322.51 × 1,062.50
  4. Step 4: Simplify right side
    1,548.90x = 2,467,666.88
  5. Step 5: Solve for x
    x = 2,467,666.88/1,548.90
  6. Step 6: Final answer
    x = 1,593.17

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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.