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Finding the Fourth Proportional to 8,459.64, 12,670.98 and 3,514.29

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Solution

The fourth proportional to 8,459.64, 12,670.98 and 3,514.29 is: 5,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.64 : 12,670.98 = 3,514.29 : x
  2. Step 2: Convert to fraction form
    8,459.64/12,670.98 = 3,514.29/x
  3. Step 3: Cross multiply
    8,459.64x = 12,670.98 × 3,514.29
  4. Step 4: Simplify right side
    8,459.64x = 44,529,457.38
  5. Step 5: Solve for x
    x = 44,529,457.38/8,459.64
  6. Step 6: Final answer
    x = 5,263.75

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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.