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Finding the Fourth Proportional to 4,080.76, 5,630.76 and 2,312

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Solution

The fourth proportional to 4,080.76, 5,630.76 and 2,312 is: 3,190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080.76 : 5,630.76 = 2,312 : x
  2. Step 2: Convert to fraction form
    4,080.76/5,630.76 = 2,312/x
  3. Step 3: Cross multiply
    4,080.76x = 5,630.76 × 2,312
  4. Step 4: Simplify right side
    4,080.76x = 13,018,317.12
  5. Step 5: Solve for x
    x = 13,018,317.12/4,080.76
  6. Step 6: Final answer
    x = 3,190.17

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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.