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Finding the Fourth Proportional to 4,657.22, 6,987.89 and 1,885.87

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Solution

The fourth proportional to 4,657.22, 6,987.89 and 1,885.87 is: 2,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.22 : 6,987.89 = 1,885.87 : x
  2. Step 2: Convert to fraction form
    4,657.22/6,987.89 = 1,885.87/x
  3. Step 3: Cross multiply
    4,657.22x = 6,987.89 × 1,885.87
  4. Step 4: Simplify right side
    4,657.22x = 13,178,252.11
  5. Step 5: Solve for x
    x = 13,178,252.11/4,657.22
  6. Step 6: Final answer
    x = 2,829.64

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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.