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Finding the Fourth Proportional to 2,300.47, 3,445.14 and 1,310.28

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Solution

The fourth proportional to 2,300.47, 3,445.14 and 1,310.28 is: 1,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.47 : 3,445.14 = 1,310.28 : x
  2. Step 2: Convert to fraction form
    2,300.47/3,445.14 = 1,310.28/x
  3. Step 3: Cross multiply
    2,300.47x = 3,445.14 × 1,310.28
  4. Step 4: Simplify right side
    2,300.47x = 4,514,098.04
  5. Step 5: Solve for x
    x = 4,514,098.04/2,300.47
  6. Step 6: Final answer
    x = 1,962.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.