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Finding the Fourth Proportional to 10,172.95, 14,037.95 and 6,815.21

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Solution

The fourth proportional to 10,172.95, 14,037.95 and 6,815.21 is: 9,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.95 : 14,037.95 = 6,815.21 : x
  2. Step 2: Convert to fraction form
    10,172.95/14,037.95 = 6,815.21/x
  3. Step 3: Cross multiply
    10,172.95x = 14,037.95 × 6,815.21
  4. Step 4: Simplify right side
    10,172.95x = 95,671,524.07
  5. Step 5: Solve for x
    x = 95,671,524.07/10,172.95
  6. Step 6: Final answer
    x = 9,404.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.