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Finding the Fourth Proportional to 9,419, 14,130.66 and 4,155.51

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Solution

The fourth proportional to 9,419, 14,130.66 and 4,155.51 is: 6,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419 : 14,130.66 = 4,155.51 : x
  2. Step 2: Convert to fraction form
    9,419/14,130.66 = 4,155.51/x
  3. Step 3: Cross multiply
    9,419x = 14,130.66 × 4,155.51
  4. Step 4: Simplify right side
    9,419x = 58,720,078.16
  5. Step 5: Solve for x
    x = 58,720,078.16/9,419
  6. Step 6: Final answer
    x = 6,234.22

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Double scale
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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.