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Finding the Fourth Proportional to 2,907.76, 4,009.86 and 2,116.24

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Solution

The fourth proportional to 2,907.76, 4,009.86 and 2,116.24 is: 2,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.76 : 4,009.86 = 2,116.24 : x
  2. Step 2: Convert to fraction form
    2,907.76/4,009.86 = 2,116.24/x
  3. Step 3: Cross multiply
    2,907.76x = 4,009.86 × 2,116.24
  4. Step 4: Simplify right side
    2,907.76x = 8,485,826.13
  5. Step 5: Solve for x
    x = 8,485,826.13/2,907.76
  6. Step 6: Final answer
    x = 2,918.34

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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.