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Finding the Fourth Proportional to 1,965.74, 2,925.40 and 1,900.13

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Solution

The fourth proportional to 1,965.74, 2,925.40 and 1,900.13 is: 2,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.74 : 2,925.40 = 1,900.13 : x
  2. Step 2: Convert to fraction form
    1,965.74/2,925.40 = 1,900.13/x
  3. Step 3: Cross multiply
    1,965.74x = 2,925.40 × 1,900.13
  4. Step 4: Simplify right side
    1,965.74x = 5,558,624.49
  5. Step 5: Solve for x
    x = 5,558,624.49/1,965.74
  6. Step 6: Final answer
    x = 2,827.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.