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Finding the Fourth Proportional to 2,606.50, 3,909.75 and 875.17

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Solution

The fourth proportional to 2,606.50, 3,909.75 and 875.17 is: 1,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.50 : 3,909.75 = 875.17 : x
  2. Step 2: Convert to fraction form
    2,606.50/3,909.75 = 875.17/x
  3. Step 3: Cross multiply
    2,606.50x = 3,909.75 × 875.17
  4. Step 4: Simplify right side
    2,606.50x = 3,421,695.91
  5. Step 5: Solve for x
    x = 3,421,695.91/2,606.50
  6. Step 6: Final answer
    x = 1,312.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.