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Finding the Fourth Proportional to 4,502, 6,752.66 and 1,580.50

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Solution

The fourth proportional to 4,502, 6,752.66 and 1,580.50 is: 2,370.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502 : 6,752.66 = 1,580.50 : x
  2. Step 2: Convert to fraction form
    4,502/6,752.66 = 1,580.50/x
  3. Step 3: Cross multiply
    4,502x = 6,752.66 × 1,580.50
  4. Step 4: Simplify right side
    4,502x = 10,672,579.13
  5. Step 5: Solve for x
    x = 10,672,579.13/4,502
  6. Step 6: Final answer
    x = 2,370.63

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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.