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Finding the Fourth Proportional to 36,543.54, 54,782.34 and 13,153.50

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Solution

The fourth proportional to 36,543.54, 54,782.34 and 13,153.50 is: 19,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,543.54 : 54,782.34 = 13,153.50 : x
  2. Step 2: Convert to fraction form
    36,543.54/54,782.34 = 13,153.50/x
  3. Step 3: Cross multiply
    36,543.54x = 54,782.34 × 13,153.50
  4. Step 4: Simplify right side
    36,543.54x = 720,579,509.19
  5. Step 5: Solve for x
    x = 720,579,509.19/36,543.54
  6. Step 6: Final answer
    x = 19,718.38

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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.