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Finding the Fourth Proportional to 4,689.71, 7,035.82 and 1,402.84

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Solution

The fourth proportional to 4,689.71, 7,035.82 and 1,402.84 is: 2,104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.71 : 7,035.82 = 1,402.84 : x
  2. Step 2: Convert to fraction form
    4,689.71/7,035.82 = 1,402.84/x
  3. Step 3: Cross multiply
    4,689.71x = 7,035.82 × 1,402.84
  4. Step 4: Simplify right side
    4,689.71x = 9,870,108.63
  5. Step 5: Solve for x
    x = 9,870,108.63/4,689.71
  6. Step 6: Final answer
    x = 2,104.63

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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.