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Finding the Fourth Proportional to 1,582.74, 2,184.27 and 874.70

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Solution

The fourth proportional to 1,582.74, 2,184.27 and 874.70 is: 1,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.74 : 2,184.27 = 874.70 : x
  2. Step 2: Convert to fraction form
    1,582.74/2,184.27 = 874.70/x
  3. Step 3: Cross multiply
    1,582.74x = 2,184.27 × 874.70
  4. Step 4: Simplify right side
    1,582.74x = 1,910,574.96
  5. Step 5: Solve for x
    x = 1,910,574.96/1,582.74
  6. Step 6: Final answer
    x = 1,207.13

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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.