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Finding the Fourth Proportional to 1,888.96, 2,607.08 and 1,102.86

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Solution

The fourth proportional to 1,888.96, 2,607.08 and 1,102.86 is: 1,522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.96 : 2,607.08 = 1,102.86 : x
  2. Step 2: Convert to fraction form
    1,888.96/2,607.08 = 1,102.86/x
  3. Step 3: Cross multiply
    1,888.96x = 2,607.08 × 1,102.86
  4. Step 4: Simplify right side
    1,888.96x = 2,875,244.25
  5. Step 5: Solve for x
    x = 2,875,244.25/1,888.96
  6. Step 6: Final answer
    x = 1,522.13

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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.