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Finding the Fourth Proportional to 2,358.45, 3,254.58 and 1,310.45

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Solution

The fourth proportional to 2,358.45, 3,254.58 and 1,310.45 is: 1,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.45 : 3,254.58 = 1,310.45 : x
  2. Step 2: Convert to fraction form
    2,358.45/3,254.58 = 1,310.45/x
  3. Step 3: Cross multiply
    2,358.45x = 3,254.58 × 1,310.45
  4. Step 4: Simplify right side
    2,358.45x = 4,264,948.09
  5. Step 5: Solve for x
    x = 4,264,948.09/2,358.45
  6. Step 6: Final answer
    x = 1,808.37

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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.