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Finding the Fourth Proportional to 2,643.56, 3,646.08 and 1,846.63

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Solution

The fourth proportional to 2,643.56, 3,646.08 and 1,846.63 is: 2,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.56 : 3,646.08 = 1,846.63 : x
  2. Step 2: Convert to fraction form
    2,643.56/3,646.08 = 1,846.63/x
  3. Step 3: Cross multiply
    2,643.56x = 3,646.08 × 1,846.63
  4. Step 4: Simplify right side
    2,643.56x = 6,732,960.71
  5. Step 5: Solve for x
    x = 6,732,960.71/2,643.56
  6. Step 6: Final answer
    x = 2,546.93

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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.