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Finding the Fourth Proportional to 9,503, 14,254.77 and 2,577.50

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Solution

The fourth proportional to 9,503, 14,254.77 and 2,577.50 is: 3,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503 : 14,254.77 = 2,577.50 : x
  2. Step 2: Convert to fraction form
    9,503/14,254.77 = 2,577.50/x
  3. Step 3: Cross multiply
    9,503x = 14,254.77 × 2,577.50
  4. Step 4: Simplify right side
    9,503x = 36,741,669.68
  5. Step 5: Solve for x
    x = 36,741,669.68/9,503
  6. Step 6: Final answer
    x = 3,866.32

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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.