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Finding the Fourth Proportional to 1,576.25, 2,175.01 and 912.86

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Solution

The fourth proportional to 1,576.25, 2,175.01 and 912.86 is: 1,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.25 : 2,175.01 = 912.86 : x
  2. Step 2: Convert to fraction form
    1,576.25/2,175.01 = 912.86/x
  3. Step 3: Cross multiply
    1,576.25x = 2,175.01 × 912.86
  4. Step 4: Simplify right side
    1,576.25x = 1,985,479.63
  5. Step 5: Solve for x
    x = 1,985,479.63/1,576.25
  6. Step 6: Final answer
    x = 1,259.62

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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.