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Finding the Fourth Proportional to 8,397.84, 12,588.54 and 3,129

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Solution

The fourth proportional to 8,397.84, 12,588.54 and 3,129 is: 4,690.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.84 : 12,588.54 = 3,129 : x
  2. Step 2: Convert to fraction form
    8,397.84/12,588.54 = 3,129/x
  3. Step 3: Cross multiply
    8,397.84x = 12,588.54 × 3,129
  4. Step 4: Simplify right side
    8,397.84x = 39,389,541.66
  5. Step 5: Solve for x
    x = 39,389,541.66/8,397.84
  6. Step 6: Final answer
    x = 4,690.44

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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.