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Finding the Fourth Proportional to 5,159.84, 7,740.67 and 1,650.16

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Solution

The fourth proportional to 5,159.84, 7,740.67 and 1,650.16 is: 2,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.84 : 7,740.67 = 1,650.16 : x
  2. Step 2: Convert to fraction form
    5,159.84/7,740.67 = 1,650.16/x
  3. Step 3: Cross multiply
    5,159.84x = 7,740.67 × 1,650.16
  4. Step 4: Simplify right side
    5,159.84x = 12,773,305.30
  5. Step 5: Solve for x
    x = 12,773,305.30/5,159.84
  6. Step 6: Final answer
    x = 2,475.52

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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.