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Finding the Fourth Proportional to 10,000.12, 14,997.54 and 2,978.24

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Solution

The fourth proportional to 10,000.12, 14,997.54 and 2,978.24 is: 4,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.12 : 14,997.54 = 2,978.24 : x
  2. Step 2: Convert to fraction form
    10,000.12/14,997.54 = 2,978.24/x
  3. Step 3: Cross multiply
    10,000.12x = 14,997.54 × 2,978.24
  4. Step 4: Simplify right side
    10,000.12x = 44,666,273.53
  5. Step 5: Solve for x
    x = 44,666,273.53/10,000.12
  6. Step 6: Final answer
    x = 4,466.57

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1.5x scale

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.