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Finding the Fourth Proportional to 4,658.76, 6,430 and 2,670.65

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Solution

The fourth proportional to 4,658.76, 6,430 and 2,670.65 is: 3,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.76 : 6,430 = 2,670.65 : x
  2. Step 2: Convert to fraction form
    4,658.76/6,430 = 2,670.65/x
  3. Step 3: Cross multiply
    4,658.76x = 6,430 × 2,670.65
  4. Step 4: Simplify right side
    4,658.76x = 17,172,279.50
  5. Step 5: Solve for x
    x = 17,172,279.50/4,658.76
  6. Step 6: Final answer
    x = 3,686.02

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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.