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Finding the Fourth Proportional to 12,384.40, 18,568.40 and 6,840.40

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Solution

The fourth proportional to 12,384.40, 18,568.40 and 6,840.40 is: 10,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.40 : 18,568.40 = 6,840.40 : x
  2. Step 2: Convert to fraction form
    12,384.40/18,568.40 = 6,840.40/x
  3. Step 3: Cross multiply
    12,384.40x = 18,568.40 × 6,840.40
  4. Step 4: Simplify right side
    12,384.40x = 127,015,283.36
  5. Step 5: Solve for x
    x = 127,015,283.36/12,384.40
  6. Step 6: Final answer
    x = 10,256.07

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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.