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Finding the Fourth Proportional to 12,957.99, 19,442.45 and 6,384.23

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Solution

The fourth proportional to 12,957.99, 19,442.45 and 6,384.23 is: 9,579.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.99 : 19,442.45 = 6,384.23 : x
  2. Step 2: Convert to fraction form
    12,957.99/19,442.45 = 6,384.23/x
  3. Step 3: Cross multiply
    12,957.99x = 19,442.45 × 6,384.23
  4. Step 4: Simplify right side
    12,957.99x = 124,125,072.56
  5. Step 5: Solve for x
    x = 124,125,072.56/12,957.99
  6. Step 6: Final answer
    x = 9,579.04

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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.