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Finding the Fourth Proportional to 2,999.76, 4,137.80 and 2,159.13

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Solution

The fourth proportional to 2,999.76, 4,137.80 and 2,159.13 is: 2,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.76 : 4,137.80 = 2,159.13 : x
  2. Step 2: Convert to fraction form
    2,999.76/4,137.80 = 2,159.13/x
  3. Step 3: Cross multiply
    2,999.76x = 4,137.80 × 2,159.13
  4. Step 4: Simplify right side
    2,999.76x = 8,934,044.23
  5. Step 5: Solve for x
    x = 8,934,044.23/2,999.76
  6. Step 6: Final answer
    x = 2,978.25

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1.5x scale

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.