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Finding the Fourth Proportional to 13,089, 19,633.86 and 3,228.24

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Solution

The fourth proportional to 13,089, 19,633.86 and 3,228.24 is: 4,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089 : 19,633.86 = 3,228.24 : x
  2. Step 2: Convert to fraction form
    13,089/19,633.86 = 3,228.24/x
  3. Step 3: Cross multiply
    13,089x = 19,633.86 × 3,228.24
  4. Step 4: Simplify right side
    13,089x = 63,382,812.21
  5. Step 5: Solve for x
    x = 63,382,812.21/13,089
  6. Step 6: Final answer
    x = 4,842.45

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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.