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Finding the Fourth Proportional to 1,827.24, 2,740.86 and 787.16

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Solution

The fourth proportional to 1,827.24, 2,740.86 and 787.16 is: 1,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.24 : 2,740.86 = 787.16 : x
  2. Step 2: Convert to fraction form
    1,827.24/2,740.86 = 787.16/x
  3. Step 3: Cross multiply
    1,827.24x = 2,740.86 × 787.16
  4. Step 4: Simplify right side
    1,827.24x = 2,157,495.36
  5. Step 5: Solve for x
    x = 2,157,495.36/1,827.24
  6. Step 6: Final answer
    x = 1,180.74

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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.