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Finding the Fourth Proportional to 1,875.76, 2,569.74 and 1,805.65

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Solution

The fourth proportional to 1,875.76, 2,569.74 and 1,805.65 is: 2,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.76 : 2,569.74 = 1,805.65 : x
  2. Step 2: Convert to fraction form
    1,875.76/2,569.74 = 1,805.65/x
  3. Step 3: Cross multiply
    1,875.76x = 2,569.74 × 1,805.65
  4. Step 4: Simplify right side
    1,875.76x = 4,640,037.84
  5. Step 5: Solve for x
    x = 4,640,037.84/1,875.76
  6. Step 6: Final answer
    x = 2,473.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.