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Finding the Fourth Proportional to 4,658.66, 6,970.56 and 2,777.68

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Solution

The fourth proportional to 4,658.66, 6,970.56 and 2,777.68 is: 4,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.66 : 6,970.56 = 2,777.68 : x
  2. Step 2: Convert to fraction form
    4,658.66/6,970.56 = 2,777.68/x
  3. Step 3: Cross multiply
    4,658.66x = 6,970.56 × 2,777.68
  4. Step 4: Simplify right side
    4,658.66x = 19,361,985.10
  5. Step 5: Solve for x
    x = 19,361,985.10/4,658.66
  6. Step 6: Final answer
    x = 4,156.13

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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.