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Finding the Fourth Proportional to 2,370.76, 3,271.62 and 1,323

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Solution

The fourth proportional to 2,370.76, 3,271.62 and 1,323 is: 1,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.76 : 3,271.62 = 1,323 : x
  2. Step 2: Convert to fraction form
    2,370.76/3,271.62 = 1,323/x
  3. Step 3: Cross multiply
    2,370.76x = 3,271.62 × 1,323
  4. Step 4: Simplify right side
    2,370.76x = 4,328,353.26
  5. Step 5: Solve for x
    x = 4,328,353.26/2,370.76
  6. Step 6: Final answer
    x = 1,825.72

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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.