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Finding the Fourth Proportional to 3,012, 4,159.86 and 2,070.30

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Solution

The fourth proportional to 3,012, 4,159.86 and 2,070.30 is: 2,859.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012 : 4,159.86 = 2,070.30 : x
  2. Step 2: Convert to fraction form
    3,012/4,159.86 = 2,070.30/x
  3. Step 3: Cross multiply
    3,012x = 4,159.86 × 2,070.30
  4. Step 4: Simplify right side
    3,012x = 8,612,158.16
  5. Step 5: Solve for x
    x = 8,612,158.16/3,012
  6. Step 6: Final answer
    x = 2,859.28

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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.