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Finding the Fourth Proportional to 9,127, 13,692.30 and 2,887.93

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Solution

The fourth proportional to 9,127, 13,692.30 and 2,887.93 is: 4,332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127 : 13,692.30 = 2,887.93 : x
  2. Step 2: Convert to fraction form
    9,127/13,692.30 = 2,887.93/x
  3. Step 3: Cross multiply
    9,127x = 13,692.30 × 2,887.93
  4. Step 4: Simplify right side
    9,127x = 39,542,403.94
  5. Step 5: Solve for x
    x = 39,542,403.94/9,127
  6. Step 6: Final answer
    x = 4,332.46

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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.