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Finding the Fourth Proportional to 52,398, 78,596.97 and 12,955.86

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Solution

The fourth proportional to 52,398, 78,596.97 and 12,955.86 is: 19,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,398 : 78,596.97 = 12,955.86 : x
  2. Step 2: Convert to fraction form
    52,398/78,596.97 = 12,955.86/x
  3. Step 3: Cross multiply
    52,398x = 78,596.97 × 12,955.86
  4. Step 4: Simplify right side
    52,398x = 1,018,291,339.74
  5. Step 5: Solve for x
    x = 1,018,291,339.74/52,398
  6. Step 6: Final answer
    x = 19,433.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.