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Finding the Fourth Proportional to 5,855.31, 8,782.32 and 1,472.77

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Solution

The fourth proportional to 5,855.31, 8,782.32 and 1,472.77 is: 2,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.31 : 8,782.32 = 1,472.77 : x
  2. Step 2: Convert to fraction form
    5,855.31/8,782.32 = 1,472.77/x
  3. Step 3: Cross multiply
    5,855.31x = 8,782.32 × 1,472.77
  4. Step 4: Simplify right side
    5,855.31x = 12,934,341.11
  5. Step 5: Solve for x
    x = 12,934,341.11/5,855.31
  6. Step 6: Final answer
    x = 2,208.99

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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.