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Finding the Fourth Proportional to 2,269.58, 3,130.08 and 1,917.22

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Solution

The fourth proportional to 2,269.58, 3,130.08 and 1,917.22 is: 2,644.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.58 : 3,130.08 = 1,917.22 : x
  2. Step 2: Convert to fraction form
    2,269.58/3,130.08 = 1,917.22/x
  3. Step 3: Cross multiply
    2,269.58x = 3,130.08 × 1,917.22
  4. Step 4: Simplify right side
    2,269.58x = 6,001,051.98
  5. Step 5: Solve for x
    x = 6,001,051.98/2,269.58
  6. Step 6: Final answer
    x = 2,644.12

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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.