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Finding the Fourth Proportional to 1,110.84, 1,530.34 and 921.07

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Solution

The fourth proportional to 1,110.84, 1,530.34 and 921.07 is: 1,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.84 : 1,530.34 = 921.07 : x
  2. Step 2: Convert to fraction form
    1,110.84/1,530.34 = 921.07/x
  3. Step 3: Cross multiply
    1,110.84x = 1,530.34 × 921.07
  4. Step 4: Simplify right side
    1,110.84x = 1,409,549.87
  5. Step 5: Solve for x
    x = 1,409,549.87/1,110.84
  6. Step 6: Final answer
    x = 1,268.91

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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.