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Finding the Fourth Proportional to 4,289, 6,432.22 and 1,656.04

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Solution

The fourth proportional to 4,289, 6,432.22 and 1,656.04 is: 2,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289 : 6,432.22 = 1,656.04 : x
  2. Step 2: Convert to fraction form
    4,289/6,432.22 = 1,656.04/x
  3. Step 3: Cross multiply
    4,289x = 6,432.22 × 1,656.04
  4. Step 4: Simplify right side
    4,289x = 10,652,013.61
  5. Step 5: Solve for x
    x = 10,652,013.61/4,289
  6. Step 6: Final answer
    x = 2,483.57

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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.