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Finding the Fourth Proportional to 2,360, 3,256.94 and 1,312.13

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Solution

The fourth proportional to 2,360, 3,256.94 and 1,312.13 is: 1,810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360 : 3,256.94 = 1,312.13 : x
  2. Step 2: Convert to fraction form
    2,360/3,256.94 = 1,312.13/x
  3. Step 3: Cross multiply
    2,360x = 3,256.94 × 1,312.13
  4. Step 4: Simplify right side
    2,360x = 4,273,528.68
  5. Step 5: Solve for x
    x = 4,273,528.68/2,360
  6. Step 6: Final answer
    x = 1,810.82

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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.