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Finding the Fourth Proportional to 1,855.42, 2,557.42 and 1,316.34

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Solution

The fourth proportional to 1,855.42, 2,557.42 and 1,316.34 is: 1,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.42 : 2,557.42 = 1,316.34 : x
  2. Step 2: Convert to fraction form
    1,855.42/2,557.42 = 1,316.34/x
  3. Step 3: Cross multiply
    1,855.42x = 2,557.42 × 1,316.34
  4. Step 4: Simplify right side
    1,855.42x = 3,366,434.76
  5. Step 5: Solve for x
    x = 3,366,434.76/1,855.42
  6. Step 6: Final answer
    x = 1,814.38

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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.