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Finding the Fourth Proportional to 13,089, 19,635.42 and 7,820.84

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Solution

The fourth proportional to 13,089, 19,635.42 and 7,820.84 is: 11,732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089 : 19,635.42 = 7,820.84 : x
  2. Step 2: Convert to fraction form
    13,089/19,635.42 = 7,820.84/x
  3. Step 3: Cross multiply
    13,089x = 19,635.42 × 7,820.84
  4. Step 4: Simplify right side
    13,089x = 153,565,478.15
  5. Step 5: Solve for x
    x = 153,565,478.15/13,089
  6. Step 6: Final answer
    x = 11,732.41

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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.