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Finding the Fourth Proportional to 9,048.68, 13,561.42 and 7,873.80

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Solution

The fourth proportional to 9,048.68, 13,561.42 and 7,873.80 is: 11,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.68 : 13,561.42 = 7,873.80 : x
  2. Step 2: Convert to fraction form
    9,048.68/13,561.42 = 7,873.80/x
  3. Step 3: Cross multiply
    9,048.68x = 13,561.42 × 7,873.80
  4. Step 4: Simplify right side
    9,048.68x = 106,779,908.80
  5. Step 5: Solve for x
    x = 106,779,908.80/9,048.68
  6. Step 6: Final answer
    x = 11,800.61

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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.