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Finding the Fourth Proportional to 1,582.64, 2,184.01 and 874.45

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Solution

The fourth proportional to 1,582.64, 2,184.01 and 874.45 is: 1,206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.64 : 2,184.01 = 874.45 : x
  2. Step 2: Convert to fraction form
    1,582.64/2,184.01 = 874.45/x
  3. Step 3: Cross multiply
    1,582.64x = 2,184.01 × 874.45
  4. Step 4: Simplify right side
    1,582.64x = 1,909,801.95
  5. Step 5: Solve for x
    x = 1,909,801.95/1,582.64
  6. Step 6: Final answer
    x = 1,206.72

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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.