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Finding the Fourth Proportional to 1,820.16, 2,730.32 and 780.48

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Solution

The fourth proportional to 1,820.16, 2,730.32 and 780.48 is: 1,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.16 : 2,730.32 = 780.48 : x
  2. Step 2: Convert to fraction form
    1,820.16/2,730.32 = 780.48/x
  3. Step 3: Cross multiply
    1,820.16x = 2,730.32 × 780.48
  4. Step 4: Simplify right side
    1,820.16x = 2,130,960.15
  5. Step 5: Solve for x
    x = 2,130,960.15/1,820.16
  6. Step 6: Final answer
    x = 1,170.75

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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.