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Finding the Fourth Proportional to 2,539.32, 3,809.58 and 807.95

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Solution

The fourth proportional to 2,539.32, 3,809.58 and 807.95 is: 1,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.32 : 3,809.58 = 807.95 : x
  2. Step 2: Convert to fraction form
    2,539.32/3,809.58 = 807.95/x
  3. Step 3: Cross multiply
    2,539.32x = 3,809.58 × 807.95
  4. Step 4: Simplify right side
    2,539.32x = 3,077,931.11
  5. Step 5: Solve for x
    x = 3,077,931.11/2,539.32
  6. Step 6: Final answer
    x = 1,212.11

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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.