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Finding the Fourth Proportional to 38,503.86, 53,138.06 and 21,510.96

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Solution

The fourth proportional to 38,503.86, 53,138.06 and 21,510.96 is: 29,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503.86 : 53,138.06 = 21,510.96 : x
  2. Step 2: Convert to fraction form
    38,503.86/53,138.06 = 21,510.96/x
  3. Step 3: Cross multiply
    38,503.86x = 53,138.06 × 21,510.96
  4. Step 4: Simplify right side
    38,503.86x = 1,143,050,683.14
  5. Step 5: Solve for x
    x = 1,143,050,683.14/38,503.86
  6. Step 6: Final answer
    x = 29,686.65

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