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Finding the Fourth Proportional to 10,475, 15,712.50 and 3,179

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Solution

The fourth proportional to 10,475, 15,712.50 and 3,179 is: 4,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475 : 15,712.50 = 3,179 : x
  2. Step 2: Convert to fraction form
    10,475/15,712.50 = 3,179/x
  3. Step 3: Cross multiply
    10,475x = 15,712.50 × 3,179
  4. Step 4: Simplify right side
    10,475x = 49,950,037.50
  5. Step 5: Solve for x
    x = 49,950,037.50/10,475
  6. Step 6: Final answer
    x = 4,768.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.