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Finding the Fourth Proportional to 9,130.50, 13,703.04 and 4,749.30

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Solution

The fourth proportional to 9,130.50, 13,703.04 and 4,749.30 is: 7,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.50 : 13,703.04 = 4,749.30 : x
  2. Step 2: Convert to fraction form
    9,130.50/13,703.04 = 4,749.30/x
  3. Step 3: Cross multiply
    9,130.50x = 13,703.04 × 4,749.30
  4. Step 4: Simplify right side
    9,130.50x = 65,079,847.87
  5. Step 5: Solve for x
    x = 65,079,847.87/9,130.50
  6. Step 6: Final answer
    x = 7,127.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.