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Finding the Fourth Proportional to 2,677.32, 4,009.86 and 1,945.08

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Solution

The fourth proportional to 2,677.32, 4,009.86 and 1,945.08 is: 2,913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.32 : 4,009.86 = 1,945.08 : x
  2. Step 2: Convert to fraction form
    2,677.32/4,009.86 = 1,945.08/x
  3. Step 3: Cross multiply
    2,677.32x = 4,009.86 × 1,945.08
  4. Step 4: Simplify right side
    2,677.32x = 7,799,498.49
  5. Step 5: Solve for x
    x = 7,799,498.49/2,677.32
  6. Step 6: Final answer
    x = 2,913.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.