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Finding the Fourth Proportional to 1,856.08, 2,562.60 and 1,507.60

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Solution

The fourth proportional to 1,856.08, 2,562.60 and 1,507.60 is: 2,081.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.08 : 2,562.60 = 1,507.60 : x
  2. Step 2: Convert to fraction form
    1,856.08/2,562.60 = 1,507.60/x
  3. Step 3: Cross multiply
    1,856.08x = 2,562.60 × 1,507.60
  4. Step 4: Simplify right side
    1,856.08x = 3,863,375.76
  5. Step 5: Solve for x
    x = 3,863,375.76/1,856.08
  6. Step 6: Final answer
    x = 2,081.47

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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.