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Finding the Fourth Proportional to 2,888.42, 3,986.02 and 1,562.13

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Solution

The fourth proportional to 2,888.42, 3,986.02 and 1,562.13 is: 2,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.42 : 3,986.02 = 1,562.13 : x
  2. Step 2: Convert to fraction form
    2,888.42/3,986.02 = 1,562.13/x
  3. Step 3: Cross multiply
    2,888.42x = 3,986.02 × 1,562.13
  4. Step 4: Simplify right side
    2,888.42x = 6,226,673.61
  5. Step 5: Solve for x
    x = 6,226,673.61/2,888.42
  6. Step 6: Final answer
    x = 2,155.74

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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.