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Finding the Fourth Proportional to 2,014.40, 2,780.64 and 1,228.40

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Solution

The fourth proportional to 2,014.40, 2,780.64 and 1,228.40 is: 1,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.40 : 2,780.64 = 1,228.40 : x
  2. Step 2: Convert to fraction form
    2,014.40/2,780.64 = 1,228.40/x
  3. Step 3: Cross multiply
    2,014.40x = 2,780.64 × 1,228.40
  4. Step 4: Simplify right side
    2,014.40x = 3,415,738.18
  5. Step 5: Solve for x
    x = 3,415,738.18/2,014.40
  6. Step 6: Final answer
    x = 1,695.66

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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.