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Finding the Fourth Proportional to 13,598.48, 20,398.80 and 5,807.36

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Solution

The fourth proportional to 13,598.48, 20,398.80 and 5,807.36 is: 8,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.48 : 20,398.80 = 5,807.36 : x
  2. Step 2: Convert to fraction form
    13,598.48/20,398.80 = 5,807.36/x
  3. Step 3: Cross multiply
    13,598.48x = 20,398.80 × 5,807.36
  4. Step 4: Simplify right side
    13,598.48x = 118,463,175.17
  5. Step 5: Solve for x
    x = 118,463,175.17/13,598.48
  6. Step 6: Final answer
    x = 8,711.50

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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.