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Finding the Fourth Proportional to 1,671.54, 2,506.94 and 561.11

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Solution

The fourth proportional to 1,671.54, 2,506.94 and 561.11 is: 841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.54 : 2,506.94 = 561.11 : x
  2. Step 2: Convert to fraction form
    1,671.54/2,506.94 = 561.11/x
  3. Step 3: Cross multiply
    1,671.54x = 2,506.94 × 561.11
  4. Step 4: Simplify right side
    1,671.54x = 1,406,660.03
  5. Step 5: Solve for x
    x = 1,406,660.03/1,671.54
  6. Step 6: Final answer
    x = 841.54

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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.