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Finding the Fourth Proportional to 25,834, 35,657.40 and 15,219.76

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Solution

The fourth proportional to 25,834, 35,657.40 and 15,219.76 is: 21,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,834 : 35,657.40 = 15,219.76 : x
  2. Step 2: Convert to fraction form
    25,834/35,657.40 = 15,219.76/x
  3. Step 3: Cross multiply
    25,834x = 35,657.40 × 15,219.76
  4. Step 4: Simplify right side
    25,834x = 542,697,070.22
  5. Step 5: Solve for x
    x = 542,697,070.22/25,834
  6. Step 6: Final answer
    x = 21,007.09

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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.