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Finding the Fourth Proportional to 7,887.80, 10,886.46 and 4,745.72

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Solution

The fourth proportional to 7,887.80, 10,886.46 and 4,745.72 is: 6,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.80 : 10,886.46 = 4,745.72 : x
  2. Step 2: Convert to fraction form
    7,887.80/10,886.46 = 4,745.72/x
  3. Step 3: Cross multiply
    7,887.80x = 10,886.46 × 4,745.72
  4. Step 4: Simplify right side
    7,887.80x = 51,664,090.95
  5. Step 5: Solve for x
    x = 51,664,090.95/7,887.80
  6. Step 6: Final answer
    x = 6,549.87

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1.5x scale

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.