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Finding the Fourth Proportional to 2,398.91, 3,598.36 and 1,358.93

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Solution

The fourth proportional to 2,398.91, 3,598.36 and 1,358.93 is: 2,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.91 : 3,598.36 = 1,358.93 : x
  2. Step 2: Convert to fraction form
    2,398.91/3,598.36 = 1,358.93/x
  3. Step 3: Cross multiply
    2,398.91x = 3,598.36 × 1,358.93
  4. Step 4: Simplify right side
    2,398.91x = 4,889,924.95
  5. Step 5: Solve for x
    x = 4,889,924.95/2,398.91
  6. Step 6: Final answer
    x = 2,038.40

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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.