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Finding the Fourth Proportional to 9,623.52, 13,289.63 and 9,099.38

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Solution

The fourth proportional to 9,623.52, 13,289.63 and 9,099.38 is: 12,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.52 : 13,289.63 = 9,099.38 : x
  2. Step 2: Convert to fraction form
    9,623.52/13,289.63 = 9,099.38/x
  3. Step 3: Cross multiply
    9,623.52x = 13,289.63 × 9,099.38
  4. Step 4: Simplify right side
    9,623.52x = 120,927,390.36
  5. Step 5: Solve for x
    x = 120,927,390.36/9,623.52
  6. Step 6: Final answer
    x = 12,565.82

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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.