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Finding the Fourth Proportional to 2,864.76, 3,953.12 and 1,802.18

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Solution

The fourth proportional to 2,864.76, 3,953.12 and 1,802.18 is: 2,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.76 : 3,953.12 = 1,802.18 : x
  2. Step 2: Convert to fraction form
    2,864.76/3,953.12 = 1,802.18/x
  3. Step 3: Cross multiply
    2,864.76x = 3,953.12 × 1,802.18
  4. Step 4: Simplify right side
    2,864.76x = 7,124,233.80
  5. Step 5: Solve for x
    x = 7,124,233.80/2,864.76
  6. Step 6: Final answer
    x = 2,486.85

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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.