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Finding the Fourth Proportional to 8,590, 12,885.48 and 2,434.48

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Solution

The fourth proportional to 8,590, 12,885.48 and 2,434.48 is: 3,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590 : 12,885.48 = 2,434.48 : x
  2. Step 2: Convert to fraction form
    8,590/12,885.48 = 2,434.48/x
  3. Step 3: Cross multiply
    8,590x = 12,885.48 × 2,434.48
  4. Step 4: Simplify right side
    8,590x = 31,369,443.35
  5. Step 5: Solve for x
    x = 31,369,443.35/8,590
  6. Step 6: Final answer
    x = 3,651.86

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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.