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Finding the Fourth Proportional to 2,124.63, 3,187.04 and 585.63

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Solution

The fourth proportional to 2,124.63, 3,187.04 and 585.63 is: 878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.63 : 3,187.04 = 585.63 : x
  2. Step 2: Convert to fraction form
    2,124.63/3,187.04 = 585.63/x
  3. Step 3: Cross multiply
    2,124.63x = 3,187.04 × 585.63
  4. Step 4: Simplify right side
    2,124.63x = 1,866,426.24
  5. Step 5: Solve for x
    x = 1,866,426.24/2,124.63
  6. Step 6: Final answer
    x = 878.47

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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.