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Finding the Fourth Proportional to 3,123, 4,685.56 and 1,457.89

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Solution

The fourth proportional to 3,123, 4,685.56 and 1,457.89 is: 2,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123 : 4,685.56 = 1,457.89 : x
  2. Step 2: Convert to fraction form
    3,123/4,685.56 = 1,457.89/x
  3. Step 3: Cross multiply
    3,123x = 4,685.56 × 1,457.89
  4. Step 4: Simplify right side
    3,123x = 6,831,015.71
  5. Step 5: Solve for x
    x = 6,831,015.71/3,123
  6. Step 6: Final answer
    x = 2,187.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.