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Finding the Fourth Proportional to 8,097, 11,178.72 and 5,307.36

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Solution

The fourth proportional to 8,097, 11,178.72 and 5,307.36 is: 7,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097 : 11,178.72 = 5,307.36 : x
  2. Step 2: Convert to fraction form
    8,097/11,178.72 = 5,307.36/x
  3. Step 3: Cross multiply
    8,097x = 11,178.72 × 5,307.36
  4. Step 4: Simplify right side
    8,097x = 59,329,491.38
  5. Step 5: Solve for x
    x = 59,329,491.38/8,097
  6. Step 6: Final answer
    x = 7,327.34

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1.5x scale

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.