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Finding the Fourth Proportional to 8,946, 13,423.88 and 4,329

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Solution

The fourth proportional to 8,946, 13,423.88 and 4,329 is: 6,495.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946 : 13,423.88 = 4,329 : x
  2. Step 2: Convert to fraction form
    8,946/13,423.88 = 4,329/x
  3. Step 3: Cross multiply
    8,946x = 13,423.88 × 4,329
  4. Step 4: Simplify right side
    8,946x = 58,111,987.34
  5. Step 5: Solve for x
    x = 58,111,987.34/8,946
  6. Step 6: Final answer
    x = 6,495.86

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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.