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Finding the Fourth Proportional to 1,990.55, 2,746.90 and 1,106.30

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Solution

The fourth proportional to 1,990.55, 2,746.90 and 1,106.30 is: 1,526.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.55 : 2,746.90 = 1,106.30 : x
  2. Step 2: Convert to fraction form
    1,990.55/2,746.90 = 1,106.30/x
  3. Step 3: Cross multiply
    1,990.55x = 2,746.90 × 1,106.30
  4. Step 4: Simplify right side
    1,990.55x = 3,038,895.47
  5. Step 5: Solve for x
    x = 3,038,895.47/1,990.55
  6. Step 6: Final answer
    x = 1,526.66

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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.