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Finding the Fourth Proportional to 1,701.53, 2,348.20 and 1,038.19

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Solution

The fourth proportional to 1,701.53, 2,348.20 and 1,038.19 is: 1,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.53 : 2,348.20 = 1,038.19 : x
  2. Step 2: Convert to fraction form
    1,701.53/2,348.20 = 1,038.19/x
  3. Step 3: Cross multiply
    1,701.53x = 2,348.20 × 1,038.19
  4. Step 4: Simplify right side
    1,701.53x = 2,437,873.19
  5. Step 5: Solve for x
    x = 2,437,873.19/1,701.53
  6. Step 6: Final answer
    x = 1,432.75

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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.