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Finding the Fourth Proportional to 3,160.77, 4,717.12 and 2,810.46

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Solution

The fourth proportional to 3,160.77, 4,717.12 and 2,810.46 is: 4,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.77 : 4,717.12 = 2,810.46 : x
  2. Step 2: Convert to fraction form
    3,160.77/4,717.12 = 2,810.46/x
  3. Step 3: Cross multiply
    3,160.77x = 4,717.12 × 2,810.46
  4. Step 4: Simplify right side
    3,160.77x = 13,257,263.02
  5. Step 5: Solve for x
    x = 13,257,263.02/3,160.77
  6. Step 6: Final answer
    x = 4,194.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.