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Finding the Fourth Proportional to 4,967.72, 6,855.63 and 2,977.89

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Solution

The fourth proportional to 4,967.72, 6,855.63 and 2,977.89 is: 4,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.72 : 6,855.63 = 2,977.89 : x
  2. Step 2: Convert to fraction form
    4,967.72/6,855.63 = 2,977.89/x
  3. Step 3: Cross multiply
    4,967.72x = 6,855.63 × 2,977.89
  4. Step 4: Simplify right side
    4,967.72x = 20,415,312.02
  5. Step 5: Solve for x
    x = 20,415,312.02/4,967.72
  6. Step 6: Final answer
    x = 4,109.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.