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Finding the Fourth Proportional to 1,307.72, 1,969.79 and 1,106.84

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Solution

The fourth proportional to 1,307.72, 1,969.79 and 1,106.84 is: 1,667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.72 : 1,969.79 = 1,106.84 : x
  2. Step 2: Convert to fraction form
    1,307.72/1,969.79 = 1,106.84/x
  3. Step 3: Cross multiply
    1,307.72x = 1,969.79 × 1,106.84
  4. Step 4: Simplify right side
    1,307.72x = 2,180,242.36
  5. Step 5: Solve for x
    x = 2,180,242.36/1,307.72
  6. Step 6: Final answer
    x = 1,667.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.