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Finding the Fourth Proportional to 38,524.86, 53,163.63 and 21,528

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Solution

The fourth proportional to 38,524.86, 53,163.63 and 21,528 is: 29,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,524.86 : 53,163.63 = 21,528 : x
  2. Step 2: Convert to fraction form
    38,524.86/53,163.63 = 21,528/x
  3. Step 3: Cross multiply
    38,524.86x = 53,163.63 × 21,528
  4. Step 4: Simplify right side
    38,524.86x = 1,144,506,626.64
  5. Step 5: Solve for x
    x = 1,144,506,626.64/38,524.86
  6. Step 6: Final answer
    x = 29,708.26

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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.