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Finding the Fourth Proportional to 2,307.31, 3,184.31 and 1,363.41

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Solution

The fourth proportional to 2,307.31, 3,184.31 and 1,363.41 is: 1,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.31 : 3,184.31 = 1,363.41 : x
  2. Step 2: Convert to fraction form
    2,307.31/3,184.31 = 1,363.41/x
  3. Step 3: Cross multiply
    2,307.31x = 3,184.31 × 1,363.41
  4. Step 4: Simplify right side
    2,307.31x = 4,341,523.51
  5. Step 5: Solve for x
    x = 4,341,523.51/2,307.31
  6. Step 6: Final answer
    x = 1,881.64

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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.