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Finding the Fourth Proportional to 2,572.48, 3,548.64 and 1,785.16

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Solution

The fourth proportional to 2,572.48, 3,548.64 and 1,785.16 is: 2,462.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.48 : 3,548.64 = 1,785.16 : x
  2. Step 2: Convert to fraction form
    2,572.48/3,548.64 = 1,785.16/x
  3. Step 3: Cross multiply
    2,572.48x = 3,548.64 × 1,785.16
  4. Step 4: Simplify right side
    2,572.48x = 6,334,890.18
  5. Step 5: Solve for x
    x = 6,334,890.18/2,572.48
  6. Step 6: Final answer
    x = 2,462.56

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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.