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Finding the Fourth Proportional to 10,406.88, 15,604.08 and 4,777.50

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Solution

The fourth proportional to 10,406.88, 15,604.08 and 4,777.50 is: 7,163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.88 : 15,604.08 = 4,777.50 : x
  2. Step 2: Convert to fraction form
    10,406.88/15,604.08 = 4,777.50/x
  3. Step 3: Cross multiply
    10,406.88x = 15,604.08 × 4,777.50
  4. Step 4: Simplify right side
    10,406.88x = 74,548,492.20
  5. Step 5: Solve for x
    x = 74,548,492.20/10,406.88
  6. Step 6: Final answer
    x = 7,163.39

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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.