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Finding the Fourth Proportional to 7,709.10, 11,570.40 and 4,585.20

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Solution

The fourth proportional to 7,709.10, 11,570.40 and 4,585.20 is: 6,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.10 : 11,570.40 = 4,585.20 : x
  2. Step 2: Convert to fraction form
    7,709.10/11,570.40 = 4,585.20/x
  3. Step 3: Cross multiply
    7,709.10x = 11,570.40 × 4,585.20
  4. Step 4: Simplify right side
    7,709.10x = 53,052,598.08
  5. Step 5: Solve for x
    x = 53,052,598.08/7,709.10
  6. Step 6: Final answer
    x = 6,881.81

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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.