Home / 2,307.32-3,184-1,312.68

Finding the Fourth Proportional to 2,307.32, 3,184 and 1,312.68

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Solution

The fourth proportional to 2,307.32, 3,184 and 1,312.68 is: 1,811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.32 : 3,184 = 1,312.68 : x
  2. Step 2: Convert to fraction form
    2,307.32/3,184 = 1,312.68/x
  3. Step 3: Cross multiply
    2,307.32x = 3,184 × 1,312.68
  4. Step 4: Simplify right side
    2,307.32x = 4,179,573.12
  5. Step 5: Solve for x
    x = 4,179,573.12/2,307.32
  6. Step 6: Final answer
    x = 1,811.44

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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.