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Finding the Fourth Proportional to 2,009.95, 2,774.67 and 1,512.78

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Solution

The fourth proportional to 2,009.95, 2,774.67 and 1,512.78 is: 2,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.95 : 2,774.67 = 1,512.78 : x
  2. Step 2: Convert to fraction form
    2,009.95/2,774.67 = 1,512.78/x
  3. Step 3: Cross multiply
    2,009.95x = 2,774.67 × 1,512.78
  4. Step 4: Simplify right side
    2,009.95x = 4,197,465.28
  5. Step 5: Solve for x
    x = 4,197,465.28/2,009.95
  6. Step 6: Final answer
    x = 2,088.34

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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.