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Finding the Fourth Proportional to 9,865.91, 13,614.73 and 5,389.68

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Solution

The fourth proportional to 9,865.91, 13,614.73 and 5,389.68 is: 7,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.91 : 13,614.73 = 5,389.68 : x
  2. Step 2: Convert to fraction form
    9,865.91/13,614.73 = 5,389.68/x
  3. Step 3: Cross multiply
    9,865.91x = 13,614.73 × 5,389.68
  4. Step 4: Simplify right side
    9,865.91x = 73,379,024.51
  5. Step 5: Solve for x
    x = 73,379,024.51/9,865.91
  6. Step 6: Final answer
    x = 7,437.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.