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Finding the Fourth Proportional to 9,289.71, 12,824.78 and 7,160.58

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Solution

The fourth proportional to 9,289.71, 12,824.78 and 7,160.58 is: 9,885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.71 : 12,824.78 = 7,160.58 : x
  2. Step 2: Convert to fraction form
    9,289.71/12,824.78 = 7,160.58/x
  3. Step 3: Cross multiply
    9,289.71x = 12,824.78 × 7,160.58
  4. Step 4: Simplify right side
    9,289.71x = 91,832,827.37
  5. Step 5: Solve for x
    x = 91,832,827.37/9,289.71
  6. Step 6: Final answer
    x = 9,885.44

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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.