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Finding the Fourth Proportional to 2,386, 3,291 and 2,070.64

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Solution

The fourth proportional to 2,386, 3,291 and 2,070.64 is: 2,856.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386 : 3,291 = 2,070.64 : x
  2. Step 2: Convert to fraction form
    2,386/3,291 = 2,070.64/x
  3. Step 3: Cross multiply
    2,386x = 3,291 × 2,070.64
  4. Step 4: Simplify right side
    2,386x = 6,814,476.24
  5. Step 5: Solve for x
    x = 6,814,476.24/2,386
  6. Step 6: Final answer
    x = 2,856.03

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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.