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Finding the Fourth Proportional to 2,011.58, 2,774.12 and 1,381.00

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Solution

The fourth proportional to 2,011.58, 2,774.12 and 1,381.00 is: 1,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.58 : 2,774.12 = 1,381.00 : x
  2. Step 2: Convert to fraction form
    2,011.58/2,774.12 = 1,381.00/x
  3. Step 3: Cross multiply
    2,011.58x = 2,774.12 × 1,381.00
  4. Step 4: Simplify right side
    2,011.58x = 3,831,056.24
  5. Step 5: Solve for x
    x = 3,831,056.24/2,011.58
  6. Step 6: Final answer
    x = 1,904.50

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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.