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Finding the Fourth Proportional to 1,856.69, 2,785.04 and 1,810.23

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Solution

The fourth proportional to 1,856.69, 2,785.04 and 1,810.23 is: 2,715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.69 : 2,785.04 = 1,810.23 : x
  2. Step 2: Convert to fraction form
    1,856.69/2,785.04 = 1,810.23/x
  3. Step 3: Cross multiply
    1,856.69x = 2,785.04 × 1,810.23
  4. Step 4: Simplify right side
    1,856.69x = 5,041,562.96
  5. Step 5: Solve for x
    x = 5,041,562.96/1,856.69
  6. Step 6: Final answer
    x = 2,715.35

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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.