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Finding the Fourth Proportional to 12,896.60, 19,307.10 and 9,624.20

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Solution

The fourth proportional to 12,896.60, 19,307.10 and 9,624.20 is: 14,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.60 : 19,307.10 = 9,624.20 : x
  2. Step 2: Convert to fraction form
    12,896.60/19,307.10 = 9,624.20/x
  3. Step 3: Cross multiply
    12,896.60x = 19,307.10 × 9,624.20
  4. Step 4: Simplify right side
    12,896.60x = 185,815,391.82
  5. Step 5: Solve for x
    x = 185,815,391.82/12,896.60
  6. Step 6: Final answer
    x = 14,408.09

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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.