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Finding the Fourth Proportional to 12,689.76, 19,037.52 and 6,846.24

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Solution

The fourth proportional to 12,689.76, 19,037.52 and 6,846.24 is: 10,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.76 : 19,037.52 = 6,846.24 : x
  2. Step 2: Convert to fraction form
    12,689.76/19,037.52 = 6,846.24/x
  3. Step 3: Cross multiply
    12,689.76x = 19,037.52 × 6,846.24
  4. Step 4: Simplify right side
    12,689.76x = 130,335,430.92
  5. Step 5: Solve for x
    x = 130,335,430.92/12,689.76
  6. Step 6: Final answer
    x = 10,270.91

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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.