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Finding the Fourth Proportional to 5,555.64, 8,332 and 1,659.12

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Solution

The fourth proportional to 5,555.64, 8,332 and 1,659.12 is: 2,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,555.64 : 8,332 = 1,659.12 : x
  2. Step 2: Convert to fraction form
    5,555.64/8,332 = 1,659.12/x
  3. Step 3: Cross multiply
    5,555.64x = 8,332 × 1,659.12
  4. Step 4: Simplify right side
    5,555.64x = 13,823,787.84
  5. Step 5: Solve for x
    x = 13,823,787.84/5,555.64
  6. Step 6: Final answer
    x = 2,488.24

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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.