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Finding the Fourth Proportional to 5,799.64, 8,699.80 and 1,640

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Solution

The fourth proportional to 5,799.64, 8,699.80 and 1,640 is: 2,460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.64 : 8,699.80 = 1,640 : x
  2. Step 2: Convert to fraction form
    5,799.64/8,699.80 = 1,640/x
  3. Step 3: Cross multiply
    5,799.64x = 8,699.80 × 1,640
  4. Step 4: Simplify right side
    5,799.64x = 14,267,672.00
  5. Step 5: Solve for x
    x = 14,267,672.00/5,799.64
  6. Step 6: Final answer
    x = 2,460.10

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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.