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Finding the Fourth Proportional to 9,153.72, 12,648.62 and 7,305.40

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Solution

The fourth proportional to 9,153.72, 12,648.62 and 7,305.40 is: 10,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.72 : 12,648.62 = 7,305.40 : x
  2. Step 2: Convert to fraction form
    9,153.72/12,648.62 = 7,305.40/x
  3. Step 3: Cross multiply
    9,153.72x = 12,648.62 × 7,305.40
  4. Step 4: Simplify right side
    9,153.72x = 92,403,228.55
  5. Step 5: Solve for x
    x = 92,403,228.55/9,153.72
  6. Step 6: Final answer
    x = 10,094.61

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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.