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Finding the Fourth Proportional to 25,861, 35,688.18 and 14,085

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Solution

The fourth proportional to 25,861, 35,688.18 and 14,085 is: 19,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,861 : 35,688.18 = 14,085 : x
  2. Step 2: Convert to fraction form
    25,861/35,688.18 = 14,085/x
  3. Step 3: Cross multiply
    25,861x = 35,688.18 × 14,085
  4. Step 4: Simplify right side
    25,861x = 502,668,015.30
  5. Step 5: Solve for x
    x = 502,668,015.30/25,861
  6. Step 6: Final answer
    x = 19,437.30

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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.