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Finding the Fourth Proportional to 4,590, 6,880.86 and 1,667.70

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Solution

The fourth proportional to 4,590, 6,880.86 and 1,667.70 is: 2,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590 : 6,880.86 = 1,667.70 : x
  2. Step 2: Convert to fraction form
    4,590/6,880.86 = 1,667.70/x
  3. Step 3: Cross multiply
    4,590x = 6,880.86 × 1,667.70
  4. Step 4: Simplify right side
    4,590x = 11,475,210.22
  5. Step 5: Solve for x
    x = 11,475,210.22/4,590
  6. Step 6: Final answer
    x = 2,500.05

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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.