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Finding the Fourth Proportional to 8,931, 13,396.53 and 2,357.70

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Solution

The fourth proportional to 8,931, 13,396.53 and 2,357.70 is: 3,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931 : 13,396.53 = 2,357.70 : x
  2. Step 2: Convert to fraction form
    8,931/13,396.53 = 2,357.70/x
  3. Step 3: Cross multiply
    8,931x = 13,396.53 × 2,357.70
  4. Step 4: Simplify right side
    8,931x = 31,584,998.78
  5. Step 5: Solve for x
    x = 31,584,998.78/8,931
  6. Step 6: Final answer
    x = 3,536.56

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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.