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Finding the Fourth Proportional to 2,159.68, 3,240 and 620.68

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Solution

The fourth proportional to 2,159.68, 3,240 and 620.68 is: 931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.68 : 3,240 = 620.68 : x
  2. Step 2: Convert to fraction form
    2,159.68/3,240 = 620.68/x
  3. Step 3: Cross multiply
    2,159.68x = 3,240 × 620.68
  4. Step 4: Simplify right side
    2,159.68x = 2,011,003.20
  5. Step 5: Solve for x
    x = 2,011,003.20/2,159.68
  6. Step 6: Final answer
    x = 931.16

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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.