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Finding the Fourth Proportional to 9,406.77, 12,980.58 and 5,157.75

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Solution

The fourth proportional to 9,406.77, 12,980.58 and 5,157.75 is: 7,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.77 : 12,980.58 = 5,157.75 : x
  2. Step 2: Convert to fraction form
    9,406.77/12,980.58 = 5,157.75/x
  3. Step 3: Cross multiply
    9,406.77x = 12,980.58 × 5,157.75
  4. Step 4: Simplify right side
    9,406.77x = 66,950,586.50
  5. Step 5: Solve for x
    x = 66,950,586.50/9,406.77
  6. Step 6: Final answer
    x = 7,117.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.