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Finding the Fourth Proportional to 5,439, 8,159.58 and 2,319

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Solution

The fourth proportional to 5,439, 8,159.58 and 2,319 is: 3,478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439 : 8,159.58 = 2,319 : x
  2. Step 2: Convert to fraction form
    5,439/8,159.58 = 2,319/x
  3. Step 3: Cross multiply
    5,439x = 8,159.58 × 2,319
  4. Step 4: Simplify right side
    5,439x = 18,922,066.02
  5. Step 5: Solve for x
    x = 18,922,066.02/5,439
  6. Step 6: Final answer
    x = 3,478.96

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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.