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Finding the Fourth Proportional to 1,693.61, 2,538.74 and 952.36

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Solution

The fourth proportional to 1,693.61, 2,538.74 and 952.36 is: 1,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.61 : 2,538.74 = 952.36 : x
  2. Step 2: Convert to fraction form
    1,693.61/2,538.74 = 952.36/x
  3. Step 3: Cross multiply
    1,693.61x = 2,538.74 × 952.36
  4. Step 4: Simplify right side
    1,693.61x = 2,417,790.46
  5. Step 5: Solve for x
    x = 2,417,790.46/1,693.61
  6. Step 6: Final answer
    x = 1,427.60

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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.