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Finding the Fourth Proportional to 1,364.52, 1,885.10 and 1,102.08

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Solution

The fourth proportional to 1,364.52, 1,885.10 and 1,102.08 is: 1,522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.52 : 1,885.10 = 1,102.08 : x
  2. Step 2: Convert to fraction form
    1,364.52/1,885.10 = 1,102.08/x
  3. Step 3: Cross multiply
    1,364.52x = 1,885.10 × 1,102.08
  4. Step 4: Simplify right side
    1,364.52x = 2,077,525.50
  5. Step 5: Solve for x
    x = 2,077,525.50/1,364.52
  6. Step 6: Final answer
    x = 1,522.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.