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Finding the Fourth Proportional to 8,140, 11,234.88 and 4,603.36

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Solution

The fourth proportional to 8,140, 11,234.88 and 4,603.36 is: 6,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140 : 11,234.88 = 4,603.36 : x
  2. Step 2: Convert to fraction form
    8,140/11,234.88 = 4,603.36/x
  3. Step 3: Cross multiply
    8,140x = 11,234.88 × 4,603.36
  4. Step 4: Simplify right side
    8,140x = 51,718,197.20
  5. Step 5: Solve for x
    x = 51,718,197.20/8,140
  6. Step 6: Final answer
    x = 6,353.59

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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.