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Finding the Fourth Proportional to 1,530.77, 2,112 and 858.51

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Solution

The fourth proportional to 1,530.77, 2,112 and 858.51 is: 1,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.77 : 2,112 = 858.51 : x
  2. Step 2: Convert to fraction form
    1,530.77/2,112 = 858.51/x
  3. Step 3: Cross multiply
    1,530.77x = 2,112 × 858.51
  4. Step 4: Simplify right side
    1,530.77x = 1,813,173.12
  5. Step 5: Solve for x
    x = 1,813,173.12/1,530.77
  6. Step 6: Final answer
    x = 1,184.49

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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.