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Finding the Fourth Proportional to 8,435.61, 12,656.12 and 4,053.38

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Solution

The fourth proportional to 8,435.61, 12,656.12 and 4,053.38 is: 6,081.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.61 : 12,656.12 = 4,053.38 : x
  2. Step 2: Convert to fraction form
    8,435.61/12,656.12 = 4,053.38/x
  3. Step 3: Cross multiply
    8,435.61x = 12,656.12 × 4,053.38
  4. Step 4: Simplify right side
    8,435.61x = 51,299,980.14
  5. Step 5: Solve for x
    x = 51,299,980.14/8,435.61
  6. Step 6: Final answer
    x = 6,081.36

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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.