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Finding the Fourth Proportional to 1,323.56, 1,985.40 and 1,092.02

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Solution

The fourth proportional to 1,323.56, 1,985.40 and 1,092.02 is: 1,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.56 : 1,985.40 = 1,092.02 : x
  2. Step 2: Convert to fraction form
    1,323.56/1,985.40 = 1,092.02/x
  3. Step 3: Cross multiply
    1,323.56x = 1,985.40 × 1,092.02
  4. Step 4: Simplify right side
    1,323.56x = 2,168,096.51
  5. Step 5: Solve for x
    x = 2,168,096.51/1,323.56
  6. Step 6: Final answer
    x = 1,638.08

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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.