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Finding the Fourth Proportional to 2,657.58, 3,669.02 and 1,948.84

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Solution

The fourth proportional to 2,657.58, 3,669.02 and 1,948.84 is: 2,690.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.58 : 3,669.02 = 1,948.84 : x
  2. Step 2: Convert to fraction form
    2,657.58/3,669.02 = 1,948.84/x
  3. Step 3: Cross multiply
    2,657.58x = 3,669.02 × 1,948.84
  4. Step 4: Simplify right side
    2,657.58x = 7,150,332.94
  5. Step 5: Solve for x
    x = 7,150,332.94/2,657.58
  6. Step 6: Final answer
    x = 2,690.54

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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.