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Finding the Fourth Proportional to 2,802.60, 3,864.24 and 1,919.16

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Solution

The fourth proportional to 2,802.60, 3,864.24 and 1,919.16 is: 2,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.60 : 3,864.24 = 1,919.16 : x
  2. Step 2: Convert to fraction form
    2,802.60/3,864.24 = 1,919.16/x
  3. Step 3: Cross multiply
    2,802.60x = 3,864.24 × 1,919.16
  4. Step 4: Simplify right side
    2,802.60x = 7,416,094.84
  5. Step 5: Solve for x
    x = 7,416,094.84/2,802.60
  6. Step 6: Final answer
    x = 2,646.15

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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.