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Finding the Fourth Proportional to 2,393, 3,302.12 and 1,345.20

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Solution

The fourth proportional to 2,393, 3,302.12 and 1,345.20 is: 1,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393 : 3,302.12 = 1,345.20 : x
  2. Step 2: Convert to fraction form
    2,393/3,302.12 = 1,345.20/x
  3. Step 3: Cross multiply
    2,393x = 3,302.12 × 1,345.20
  4. Step 4: Simplify right side
    2,393x = 4,442,011.82
  5. Step 5: Solve for x
    x = 4,442,011.82/2,393
  6. Step 6: Final answer
    x = 1,856.25

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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.