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Finding the Fourth Proportional to 2,353.96, 3,248.52 and 1,306

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Solution

The fourth proportional to 2,353.96, 3,248.52 and 1,306 is: 1,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.96 : 3,248.52 = 1,306 : x
  2. Step 2: Convert to fraction form
    2,353.96/3,248.52 = 1,306/x
  3. Step 3: Cross multiply
    2,353.96x = 3,248.52 × 1,306
  4. Step 4: Simplify right side
    2,353.96x = 4,242,567.12
  5. Step 5: Solve for x
    x = 4,242,567.12/2,353.96
  6. Step 6: Final answer
    x = 1,802.31

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Why These Related Problems?

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