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Finding the Fourth Proportional to 2,156.68, 3,235.02 and 858.16

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Solution

The fourth proportional to 2,156.68, 3,235.02 and 858.16 is: 1,287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.68 : 3,235.02 = 858.16 : x
  2. Step 2: Convert to fraction form
    2,156.68/3,235.02 = 858.16/x
  3. Step 3: Cross multiply
    2,156.68x = 3,235.02 × 858.16
  4. Step 4: Simplify right side
    2,156.68x = 2,776,164.76
  5. Step 5: Solve for x
    x = 2,776,164.76/2,156.68
  6. Step 6: Final answer
    x = 1,287.24

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1.5x scale

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.