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Finding the Fourth Proportional to 3,009, 4,514.40 and 1,277.76

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Solution

The fourth proportional to 3,009, 4,514.40 and 1,277.76 is: 1,917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009 : 4,514.40 = 1,277.76 : x
  2. Step 2: Convert to fraction form
    3,009/4,514.40 = 1,277.76/x
  3. Step 3: Cross multiply
    3,009x = 4,514.40 × 1,277.76
  4. Step 4: Simplify right side
    3,009x = 5,768,319.74
  5. Step 5: Solve for x
    x = 5,768,319.74/3,009
  6. Step 6: Final answer
    x = 1,917.02

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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.