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Finding the Fourth Proportional to 4,748.74, 7,122.63 and 1,670.50

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Solution

The fourth proportional to 4,748.74, 7,122.63 and 1,670.50 is: 2,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.74 : 7,122.63 = 1,670.50 : x
  2. Step 2: Convert to fraction form
    4,748.74/7,122.63 = 1,670.50/x
  3. Step 3: Cross multiply
    4,748.74x = 7,122.63 × 1,670.50
  4. Step 4: Simplify right side
    4,748.74x = 11,898,353.42
  5. Step 5: Solve for x
    x = 11,898,353.42/4,748.74
  6. Step 6: Final answer
    x = 2,505.58

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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.