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Finding the Fourth Proportional to 2,808.72, 3,875.88 and 1,746.24

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Solution

The fourth proportional to 2,808.72, 3,875.88 and 1,746.24 is: 2,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.72 : 3,875.88 = 1,746.24 : x
  2. Step 2: Convert to fraction form
    2,808.72/3,875.88 = 1,746.24/x
  3. Step 3: Cross multiply
    2,808.72x = 3,875.88 × 1,746.24
  4. Step 4: Simplify right side
    2,808.72x = 6,768,216.69
  5. Step 5: Solve for x
    x = 6,768,216.69/2,808.72
  6. Step 6: Final answer
    x = 2,409.72

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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.