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Finding the Fourth Proportional to 1,885.79, 2,602.50 and 1,223.21

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Solution

The fourth proportional to 1,885.79, 2,602.50 and 1,223.21 is: 1,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.79 : 2,602.50 = 1,223.21 : x
  2. Step 2: Convert to fraction form
    1,885.79/2,602.50 = 1,223.21/x
  3. Step 3: Cross multiply
    1,885.79x = 2,602.50 × 1,223.21
  4. Step 4: Simplify right side
    1,885.79x = 3,183,410.53
  5. Step 5: Solve for x
    x = 3,183,410.53/1,885.79
  6. Step 6: Final answer
    x = 1,688.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.