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Finding the Fourth Proportional to 2,398.40, 3,598.30 and 1,011

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Solution

The fourth proportional to 2,398.40, 3,598.30 and 1,011 is: 1,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.40 : 3,598.30 = 1,011 : x
  2. Step 2: Convert to fraction form
    2,398.40/3,598.30 = 1,011/x
  3. Step 3: Cross multiply
    2,398.40x = 3,598.30 × 1,011
  4. Step 4: Simplify right side
    2,398.40x = 3,637,881.30
  5. Step 5: Solve for x
    x = 3,637,881.30/2,398.40
  6. Step 6: Final answer
    x = 1,516.80

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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.