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Finding the Fourth Proportional to 25,615, 35,349.78 and 14,437

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Solution

The fourth proportional to 25,615, 35,349.78 and 14,437 is: 19,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,615 : 35,349.78 = 14,437 : x
  2. Step 2: Convert to fraction form
    25,615/35,349.78 = 14,437/x
  3. Step 3: Cross multiply
    25,615x = 35,349.78 × 14,437
  4. Step 4: Simplify right side
    25,615x = 510,344,773.86
  5. Step 5: Solve for x
    x = 510,344,773.86/25,615
  6. Step 6: Final answer
    x = 19,923.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.