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Finding the Fourth Proportional to 7,710.67, 11,570.41 and 4,200.53

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Solution

The fourth proportional to 7,710.67, 11,570.41 and 4,200.53 is: 6,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.67 : 11,570.41 = 4,200.53 : x
  2. Step 2: Convert to fraction form
    7,710.67/11,570.41 = 4,200.53/x
  3. Step 3: Cross multiply
    7,710.67x = 11,570.41 × 4,200.53
  4. Step 4: Simplify right side
    7,710.67x = 48,601,854.32
  5. Step 5: Solve for x
    x = 48,601,854.32/7,710.67
  6. Step 6: Final answer
    x = 6,303.19

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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.