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Finding the Fourth Proportional to 9,428.54, 14,130.95 and 8,255.75

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Solution

The fourth proportional to 9,428.54, 14,130.95 and 8,255.75 is: 12,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.54 : 14,130.95 = 8,255.75 : x
  2. Step 2: Convert to fraction form
    9,428.54/14,130.95 = 8,255.75/x
  3. Step 3: Cross multiply
    9,428.54x = 14,130.95 × 8,255.75
  4. Step 4: Simplify right side
    9,428.54x = 116,661,478.53
  5. Step 5: Solve for x
    x = 116,661,478.53/9,428.54
  6. Step 6: Final answer
    x = 12,373.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.