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Finding the Fourth Proportional to 2,417.68, 3,628.68 and 1,724.32

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Solution

The fourth proportional to 2,417.68, 3,628.68 and 1,724.32 is: 2,588.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.68 : 3,628.68 = 1,724.32 : x
  2. Step 2: Convert to fraction form
    2,417.68/3,628.68 = 1,724.32/x
  3. Step 3: Cross multiply
    2,417.68x = 3,628.68 × 1,724.32
  4. Step 4: Simplify right side
    2,417.68x = 6,257,005.50
  5. Step 5: Solve for x
    x = 6,257,005.50/2,417.68
  6. Step 6: Final answer
    x = 2,588.02

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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.