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Finding the Fourth Proportional to 25,391, 35,039.58 and 14,213

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Solution

The fourth proportional to 25,391, 35,039.58 and 14,213 is: 19,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,391 : 35,039.58 = 14,213 : x
  2. Step 2: Convert to fraction form
    25,391/35,039.58 = 14,213/x
  3. Step 3: Cross multiply
    25,391x = 35,039.58 × 14,213
  4. Step 4: Simplify right side
    25,391x = 498,017,550.54
  5. Step 5: Solve for x
    x = 498,017,550.54/25,391
  6. Step 6: Final answer
    x = 19,613.94

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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.