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Finding the Fourth Proportional to 4,658.64, 6,987.87 and 1,885.20

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Solution

The fourth proportional to 4,658.64, 6,987.87 and 1,885.20 is: 2,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.64 : 6,987.87 = 1,885.20 : x
  2. Step 2: Convert to fraction form
    4,658.64/6,987.87 = 1,885.20/x
  3. Step 3: Cross multiply
    4,658.64x = 6,987.87 × 1,885.20
  4. Step 4: Simplify right side
    4,658.64x = 13,173,532.52
  5. Step 5: Solve for x
    x = 13,173,532.52/4,658.64
  6. Step 6: Final answer
    x = 2,827.76

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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.