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Finding the Fourth Proportional to 2,358.36, 3,536.93 and 972.09

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Solution

The fourth proportional to 2,358.36, 3,536.93 and 972.09 is: 1,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.36 : 3,536.93 = 972.09 : x
  2. Step 2: Convert to fraction form
    2,358.36/3,536.93 = 972.09/x
  3. Step 3: Cross multiply
    2,358.36x = 3,536.93 × 972.09
  4. Step 4: Simplify right side
    2,358.36x = 3,438,216.71
  5. Step 5: Solve for x
    x = 3,438,216.71/2,358.36
  6. Step 6: Final answer
    x = 1,457.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.