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Finding the Fourth Proportional to 2,802.84, 3,864.88 and 1,917.24

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Solution

The fourth proportional to 2,802.84, 3,864.88 and 1,917.24 is: 2,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.84 : 3,864.88 = 1,917.24 : x
  2. Step 2: Convert to fraction form
    2,802.84/3,864.88 = 1,917.24/x
  3. Step 3: Cross multiply
    2,802.84x = 3,864.88 × 1,917.24
  4. Step 4: Simplify right side
    2,802.84x = 7,409,902.53
  5. Step 5: Solve for x
    x = 7,409,902.53/2,802.84
  6. Step 6: Final answer
    x = 2,643.71

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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.