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Finding the Fourth Proportional to 2,100.93, 2,899.35 and 1,156.74

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Solution

The fourth proportional to 2,100.93, 2,899.35 and 1,156.74 is: 1,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.93 : 2,899.35 = 1,156.74 : x
  2. Step 2: Convert to fraction form
    2,100.93/2,899.35 = 1,156.74/x
  3. Step 3: Cross multiply
    2,100.93x = 2,899.35 × 1,156.74
  4. Step 4: Simplify right side
    2,100.93x = 3,353,794.12
  5. Step 5: Solve for x
    x = 3,353,794.12/2,100.93
  6. Step 6: Final answer
    x = 1,596.34

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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.