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Finding the Fourth Proportional to 7,859.84, 11,775.98 and 4,153.98

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Solution

The fourth proportional to 7,859.84, 11,775.98 and 4,153.98 is: 6,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.84 : 11,775.98 = 4,153.98 : x
  2. Step 2: Convert to fraction form
    7,859.84/11,775.98 = 4,153.98/x
  3. Step 3: Cross multiply
    7,859.84x = 11,775.98 × 4,153.98
  4. Step 4: Simplify right side
    7,859.84x = 48,917,239.95
  5. Step 5: Solve for x
    x = 48,917,239.95/7,859.84
  6. Step 6: Final answer
    x = 6,223.70

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1.5x scale

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.