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Finding the Fourth Proportional to 46,253, 69,391.02 and 13,421

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Solution

The fourth proportional to 46,253, 69,391.02 and 13,421 is: 20,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,253 : 69,391.02 = 13,421 : x
  2. Step 2: Convert to fraction form
    46,253/69,391.02 = 13,421/x
  3. Step 3: Cross multiply
    46,253x = 69,391.02 × 13,421
  4. Step 4: Simplify right side
    46,253x = 931,296,879.42
  5. Step 5: Solve for x
    x = 931,296,879.42/46,253
  6. Step 6: Final answer
    x = 20,134.84

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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.