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Finding the Fourth Proportional to 18,548, 25,597.50 and 10,478.86

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Solution

The fourth proportional to 18,548, 25,597.50 and 10,478.86 is: 14,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,548 : 25,597.50 = 10,478.86 : x
  2. Step 2: Convert to fraction form
    18,548/25,597.50 = 10,478.86/x
  3. Step 3: Cross multiply
    18,548x = 25,597.50 × 10,478.86
  4. Step 4: Simplify right side
    18,548x = 268,232,618.85
  5. Step 5: Solve for x
    x = 268,232,618.85/18,548
  6. Step 6: Final answer
    x = 14,461.54

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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.