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Finding the Fourth Proportional to 13,088, 18,061.44 and 7,200

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Solution

The fourth proportional to 13,088, 18,061.44 and 7,200 is: 9,936.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,088 : 18,061.44 = 7,200 : x
  2. Step 2: Convert to fraction form
    13,088/18,061.44 = 7,200/x
  3. Step 3: Cross multiply
    13,088x = 18,061.44 × 7,200
  4. Step 4: Simplify right side
    13,088x = 130,042,368.00
  5. Step 5: Solve for x
    x = 130,042,368.00/13,088
  6. Step 6: Final answer
    x = 9,936.00

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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.