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Finding the Fourth Proportional to 4,689.89, 7,035.74 and 1,402.71

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Solution

The fourth proportional to 4,689.89, 7,035.74 and 1,402.71 is: 2,104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.89 : 7,035.74 = 1,402.71 : x
  2. Step 2: Convert to fraction form
    4,689.89/7,035.74 = 1,402.71/x
  3. Step 3: Cross multiply
    4,689.89x = 7,035.74 × 1,402.71
  4. Step 4: Simplify right side
    4,689.89x = 9,869,102.86
  5. Step 5: Solve for x
    x = 9,869,102.86/4,689.89
  6. Step 6: Final answer
    x = 2,104.34

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1.5x scale

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.