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Finding the Fourth Proportional to 2,426.63, 3,638.12 and 782.19

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Solution

The fourth proportional to 2,426.63, 3,638.12 and 782.19 is: 1,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.63 : 3,638.12 = 782.19 : x
  2. Step 2: Convert to fraction form
    2,426.63/3,638.12 = 782.19/x
  3. Step 3: Cross multiply
    2,426.63x = 3,638.12 × 782.19
  4. Step 4: Simplify right side
    2,426.63x = 2,845,697.17
  5. Step 5: Solve for x
    x = 2,845,697.17/2,426.63
  6. Step 6: Final answer
    x = 1,172.70

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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.