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Finding the Fourth Proportional to 8,964, 13,450.86 and 4,347

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Solution

The fourth proportional to 8,964, 13,450.86 and 4,347 is: 6,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964 : 13,450.86 = 4,347 : x
  2. Step 2: Convert to fraction form
    8,964/13,450.86 = 4,347/x
  3. Step 3: Cross multiply
    8,964x = 13,450.86 × 4,347
  4. Step 4: Simplify right side
    8,964x = 58,470,888.42
  5. Step 5: Solve for x
    x = 58,470,888.42/8,964
  6. Step 6: Final answer
    x = 6,522.86

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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.