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Finding the Fourth Proportional to 29,978.04, 44,990.10 and 11,271.90

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Solution

The fourth proportional to 29,978.04, 44,990.10 and 11,271.90 is: 16,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.04 : 44,990.10 = 11,271.90 : x
  2. Step 2: Convert to fraction form
    29,978.04/44,990.10 = 11,271.90/x
  3. Step 3: Cross multiply
    29,978.04x = 44,990.10 × 11,271.90
  4. Step 4: Simplify right side
    29,978.04x = 507,123,908.19
  5. Step 5: Solve for x
    x = 507,123,908.19/29,978.04
  6. Step 6: Final answer
    x = 16,916.51

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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.