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Finding the Fourth Proportional to 9,384.62, 12,939 and 6,021.50

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Solution

The fourth proportional to 9,384.62, 12,939 and 6,021.50 is: 8,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.62 : 12,939 = 6,021.50 : x
  2. Step 2: Convert to fraction form
    9,384.62/12,939 = 6,021.50/x
  3. Step 3: Cross multiply
    9,384.62x = 12,939 × 6,021.50
  4. Step 4: Simplify right side
    9,384.62x = 77,912,123.81
  5. Step 5: Solve for x
    x = 77,912,123.81/9,384.62
  6. Step 6: Final answer
    x = 8,302.11

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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.