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Finding the Fourth Proportional to 25,953, 35,815.18 and 14,775

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Solution

The fourth proportional to 25,953, 35,815.18 and 14,775 is: 20,389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,953 : 35,815.18 = 14,775 : x
  2. Step 2: Convert to fraction form
    25,953/35,815.18 = 14,775/x
  3. Step 3: Cross multiply
    25,953x = 35,815.18 × 14,775
  4. Step 4: Simplify right side
    25,953x = 529,169,284.50
  5. Step 5: Solve for x
    x = 529,169,284.50/25,953
  6. Step 6: Final answer
    x = 20,389.52

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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.