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Finding the Fourth Proportional to 2,865.74, 3,953.54 and 1,870.66

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Solution

The fourth proportional to 2,865.74, 3,953.54 and 1,870.66 is: 2,580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.74 : 3,953.54 = 1,870.66 : x
  2. Step 2: Convert to fraction form
    2,865.74/3,953.54 = 1,870.66/x
  3. Step 3: Cross multiply
    2,865.74x = 3,953.54 × 1,870.66
  4. Step 4: Simplify right side
    2,865.74x = 7,395,729.14
  5. Step 5: Solve for x
    x = 7,395,729.14/2,865.74
  6. Step 6: Final answer
    x = 2,580.74

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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.