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Finding the Fourth Proportional to 13,036, 17,989.68 and 7,148

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Solution

The fourth proportional to 13,036, 17,989.68 and 7,148 is: 9,864.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,036 : 17,989.68 = 7,148 : x
  2. Step 2: Convert to fraction form
    13,036/17,989.68 = 7,148/x
  3. Step 3: Cross multiply
    13,036x = 17,989.68 × 7,148
  4. Step 4: Simplify right side
    13,036x = 128,590,232.64
  5. Step 5: Solve for x
    x = 128,590,232.64/13,036
  6. Step 6: Final answer
    x = 9,864.24

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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.