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Finding the Fourth Proportional to 11,603.76, 16,020.12 and 7,631.52

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Solution

The fourth proportional to 11,603.76, 16,020.12 and 7,631.52 is: 10,536.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.76 : 16,020.12 = 7,631.52 : x
  2. Step 2: Convert to fraction form
    11,603.76/16,020.12 = 7,631.52/x
  3. Step 3: Cross multiply
    11,603.76x = 16,020.12 × 7,631.52
  4. Step 4: Simplify right side
    11,603.76x = 122,257,866.18
  5. Step 5: Solve for x
    x = 122,257,866.18/11,603.76
  6. Step 6: Final answer
    x = 10,536.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.