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Finding the Fourth Proportional to 10,897.80, 16,335 and 4,314.84

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Solution

The fourth proportional to 10,897.80, 16,335 and 4,314.84 is: 6,467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.80 : 16,335 = 4,314.84 : x
  2. Step 2: Convert to fraction form
    10,897.80/16,335 = 4,314.84/x
  3. Step 3: Cross multiply
    10,897.80x = 16,335 × 4,314.84
  4. Step 4: Simplify right side
    10,897.80x = 70,482,911.40
  5. Step 5: Solve for x
    x = 70,482,911.40/10,897.80
  6. Step 6: Final answer
    x = 6,467.63

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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.