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Finding the Fourth Proportional to 12,957.78, 19,424.78 and 4,635.84

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Solution

The fourth proportional to 12,957.78, 19,424.78 and 4,635.84 is: 6,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.78 : 19,424.78 = 4,635.84 : x
  2. Step 2: Convert to fraction form
    12,957.78/19,424.78 = 4,635.84/x
  3. Step 3: Cross multiply
    12,957.78x = 19,424.78 × 4,635.84
  4. Step 4: Simplify right side
    12,957.78x = 90,050,172.12
  5. Step 5: Solve for x
    x = 90,050,172.12/12,957.78
  6. Step 6: Final answer
    x = 6,949.51

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1.5x scale

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.