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Finding the Fourth Proportional to 2,509.60, 3,464.64 and 1,879.92

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Solution

The fourth proportional to 2,509.60, 3,464.64 and 1,879.92 is: 2,595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.60 : 3,464.64 = 1,879.92 : x
  2. Step 2: Convert to fraction form
    2,509.60/3,464.64 = 1,879.92/x
  3. Step 3: Cross multiply
    2,509.60x = 3,464.64 × 1,879.92
  4. Step 4: Simplify right side
    2,509.60x = 6,513,246.03
  5. Step 5: Solve for x
    x = 6,513,246.03/2,509.60
  6. Step 6: Final answer
    x = 2,595.33

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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.