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Finding the Fourth Proportional to 2,750.64, 3,792.16 and 1,804.76

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Solution

The fourth proportional to 2,750.64, 3,792.16 and 1,804.76 is: 2,488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.64 : 3,792.16 = 1,804.76 : x
  2. Step 2: Convert to fraction form
    2,750.64/3,792.16 = 1,804.76/x
  3. Step 3: Cross multiply
    2,750.64x = 3,792.16 × 1,804.76
  4. Step 4: Simplify right side
    2,750.64x = 6,843,943.65
  5. Step 5: Solve for x
    x = 6,843,943.65/2,750.64
  6. Step 6: Final answer
    x = 2,488.13

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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.