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Finding the Fourth Proportional to 8,312.66, 12,465.34 and 3,114.89

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Solution

The fourth proportional to 8,312.66, 12,465.34 and 3,114.89 is: 4,670.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.66 : 12,465.34 = 3,114.89 : x
  2. Step 2: Convert to fraction form
    8,312.66/12,465.34 = 3,114.89/x
  3. Step 3: Cross multiply
    8,312.66x = 12,465.34 × 3,114.89
  4. Step 4: Simplify right side
    8,312.66x = 38,828,162.91
  5. Step 5: Solve for x
    x = 38,828,162.91/8,312.66
  6. Step 6: Final answer
    x = 4,670.97

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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.