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Finding the Fourth Proportional to 14,354.74, 21,541.07 and 7,785.46

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Solution

The fourth proportional to 14,354.74, 21,541.07 and 7,785.46 is: 11,683.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,354.74 : 21,541.07 = 7,785.46 : x
  2. Step 2: Convert to fraction form
    14,354.74/21,541.07 = 7,785.46/x
  3. Step 3: Cross multiply
    14,354.74x = 21,541.07 × 7,785.46
  4. Step 4: Simplify right side
    14,354.74x = 167,707,138.84
  5. Step 5: Solve for x
    x = 167,707,138.84/14,354.74
  6. Step 6: Final answer
    x = 11,683.05

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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.