Home / 2,802.32-4,206.08-1,416.64

Finding the Fourth Proportional to 2,802.32, 4,206.08 and 1,416.64

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Solution

The fourth proportional to 2,802.32, 4,206.08 and 1,416.64 is: 2,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.32 : 4,206.08 = 1,416.64 : x
  2. Step 2: Convert to fraction form
    2,802.32/4,206.08 = 1,416.64/x
  3. Step 3: Cross multiply
    2,802.32x = 4,206.08 × 1,416.64
  4. Step 4: Simplify right side
    2,802.32x = 5,958,501.17
  5. Step 5: Solve for x
    x = 5,958,501.17/2,802.32
  6. Step 6: Final answer
    x = 2,126.27

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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.