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Finding the Fourth Proportional to 9,073.34, 12,512 and 8,544.20

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Solution

The fourth proportional to 9,073.34, 12,512 and 8,544.20 is: 11,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,073.34 : 12,512 = 8,544.20 : x
  2. Step 2: Convert to fraction form
    9,073.34/12,512 = 8,544.20/x
  3. Step 3: Cross multiply
    9,073.34x = 12,512 × 8,544.20
  4. Step 4: Simplify right side
    9,073.34x = 106,905,030.40
  5. Step 5: Solve for x
    x = 106,905,030.40/9,073.34
  6. Step 6: Final answer
    x = 11,782.32

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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.