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Finding the Fourth Proportional to 8,384.40, 11,578.73 and 7,597.08

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Solution

The fourth proportional to 8,384.40, 11,578.73 and 7,597.08 is: 10,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.40 : 11,578.73 = 7,597.08 : x
  2. Step 2: Convert to fraction form
    8,384.40/11,578.73 = 7,597.08/x
  3. Step 3: Cross multiply
    8,384.40x = 11,578.73 × 7,597.08
  4. Step 4: Simplify right side
    8,384.40x = 87,964,500.12
  5. Step 5: Solve for x
    x = 87,964,500.12/8,384.40
  6. Step 6: Final answer
    x = 10,491.45

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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.