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Finding the Fourth Proportional to 12,753.58, 19,122.87 and 6,509.50

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Solution

The fourth proportional to 12,753.58, 19,122.87 and 6,509.50 is: 9,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.58 : 19,122.87 = 6,509.50 : x
  2. Step 2: Convert to fraction form
    12,753.58/19,122.87 = 6,509.50/x
  3. Step 3: Cross multiply
    12,753.58x = 19,122.87 × 6,509.50
  4. Step 4: Simplify right side
    12,753.58x = 124,480,322.27
  5. Step 5: Solve for x
    x = 124,480,322.27/12,753.58
  6. Step 6: Final answer
    x = 9,760.42

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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.