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Finding the Fourth Proportional to 1,362.04, 1,877.42 and 919.17

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Solution

The fourth proportional to 1,362.04, 1,877.42 and 919.17 is: 1,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.04 : 1,877.42 = 919.17 : x
  2. Step 2: Convert to fraction form
    1,362.04/1,877.42 = 919.17/x
  3. Step 3: Cross multiply
    1,362.04x = 1,877.42 × 919.17
  4. Step 4: Simplify right side
    1,362.04x = 1,725,670.44
  5. Step 5: Solve for x
    x = 1,725,670.44/1,362.04
  6. Step 6: Final answer
    x = 1,266.98

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1.5x scale

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.