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Finding the Fourth Proportional to 9,579.88, 14,270.81 and 9,289.72

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Solution

The fourth proportional to 9,579.88, 14,270.81 and 9,289.72 is: 13,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.88 : 14,270.81 = 9,289.72 : x
  2. Step 2: Convert to fraction form
    9,579.88/14,270.81 = 9,289.72/x
  3. Step 3: Cross multiply
    9,579.88x = 14,270.81 × 9,289.72
  4. Step 4: Simplify right side
    9,579.88x = 132,571,829.07
  5. Step 5: Solve for x
    x = 132,571,829.07/9,579.88
  6. Step 6: Final answer
    x = 13,838.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.