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Finding the Fourth Proportional to 2,107.76, 2,909.00 and 1,582.88

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Solution

The fourth proportional to 2,107.76, 2,909.00 and 1,582.88 is: 2,184.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.76 : 2,909.00 = 1,582.88 : x
  2. Step 2: Convert to fraction form
    2,107.76/2,909.00 = 1,582.88/x
  3. Step 3: Cross multiply
    2,107.76x = 2,909.00 × 1,582.88
  4. Step 4: Simplify right side
    2,107.76x = 4,604,590.01
  5. Step 5: Solve for x
    x = 4,604,590.01/2,107.76
  6. Step 6: Final answer
    x = 2,184.59

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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.