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Finding the Fourth Proportional to 26,697.42, 40,045.62 and 7,977.50

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Solution

The fourth proportional to 26,697.42, 40,045.62 and 7,977.50 is: 11,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,697.42 : 40,045.62 = 7,977.50 : x
  2. Step 2: Convert to fraction form
    26,697.42/40,045.62 = 7,977.50/x
  3. Step 3: Cross multiply
    26,697.42x = 40,045.62 × 7,977.50
  4. Step 4: Simplify right side
    26,697.42x = 319,463,933.55
  5. Step 5: Solve for x
    x = 319,463,933.55/26,697.42
  6. Step 6: Final answer
    x = 11,966.10

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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.