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Finding the Fourth Proportional to 4,748, 7,122 and 1,667.84

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Solution

The fourth proportional to 4,748, 7,122 and 1,667.84 is: 2,501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748 : 7,122 = 1,667.84 : x
  2. Step 2: Convert to fraction form
    4,748/7,122 = 1,667.84/x
  3. Step 3: Cross multiply
    4,748x = 7,122 × 1,667.84
  4. Step 4: Simplify right side
    4,748x = 11,878,356.48
  5. Step 5: Solve for x
    x = 11,878,356.48/4,748
  6. Step 6: Final answer
    x = 2,501.76

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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.