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Finding the Fourth Proportional to 2,358, 3,254.04 and 1,310.06

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Solution

The fourth proportional to 2,358, 3,254.04 and 1,310.06 is: 1,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358 : 3,254.04 = 1,310.06 : x
  2. Step 2: Convert to fraction form
    2,358/3,254.04 = 1,310.06/x
  3. Step 3: Cross multiply
    2,358x = 3,254.04 × 1,310.06
  4. Step 4: Simplify right side
    2,358x = 4,262,995.78
  5. Step 5: Solve for x
    x = 4,262,995.78/2,358
  6. Step 6: Final answer
    x = 1,807.89

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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.