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Finding the Fourth Proportional to 2,804.81, 3,870.68 and 1,562.81

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Solution

The fourth proportional to 2,804.81, 3,870.68 and 1,562.81 is: 2,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.81 : 3,870.68 = 1,562.81 : x
  2. Step 2: Convert to fraction form
    2,804.81/3,870.68 = 1,562.81/x
  3. Step 3: Cross multiply
    2,804.81x = 3,870.68 × 1,562.81
  4. Step 4: Simplify right side
    2,804.81x = 6,049,137.41
  5. Step 5: Solve for x
    x = 6,049,137.41/2,804.81
  6. Step 6: Final answer
    x = 2,156.70

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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.