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Finding the Fourth Proportional to 5,712.60, 8,565.72 and 1,762.74

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Solution

The fourth proportional to 5,712.60, 8,565.72 and 1,762.74 is: 2,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.60 : 8,565.72 = 1,762.74 : x
  2. Step 2: Convert to fraction form
    5,712.60/8,565.72 = 1,762.74/x
  3. Step 3: Cross multiply
    5,712.60x = 8,565.72 × 1,762.74
  4. Step 4: Simplify right side
    5,712.60x = 15,099,098.54
  5. Step 5: Solve for x
    x = 15,099,098.54/5,712.60
  6. Step 6: Final answer
    x = 2,643.12

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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.