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Finding the Fourth Proportional to 15,445, 23,171.37 and 7,130.83

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Solution

The fourth proportional to 15,445, 23,171.37 and 7,130.83 is: 10,698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,445 : 23,171.37 = 7,130.83 : x
  2. Step 2: Convert to fraction form
    15,445/23,171.37 = 7,130.83/x
  3. Step 3: Cross multiply
    15,445x = 23,171.37 × 7,130.83
  4. Step 4: Simplify right side
    15,445x = 165,231,100.34
  5. Step 5: Solve for x
    x = 165,231,100.34/15,445
  6. Step 6: Final answer
    x = 10,698.03

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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.