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Finding the Fourth Proportional to 4,680.72, 7,019.64 and 1,602

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Solution

The fourth proportional to 4,680.72, 7,019.64 and 1,602 is: 2,402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.72 : 7,019.64 = 1,602 : x
  2. Step 2: Convert to fraction form
    4,680.72/7,019.64 = 1,602/x
  3. Step 3: Cross multiply
    4,680.72x = 7,019.64 × 1,602
  4. Step 4: Simplify right side
    4,680.72x = 11,245,463.28
  5. Step 5: Solve for x
    x = 11,245,463.28/4,680.72
  6. Step 6: Final answer
    x = 2,402.51

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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.