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Finding the Fourth Proportional to 38,715.95, 58,050.69 and 13,407.12

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Solution

The fourth proportional to 38,715.95, 58,050.69 and 13,407.12 is: 20,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,715.95 : 58,050.69 = 13,407.12 : x
  2. Step 2: Convert to fraction form
    38,715.95/58,050.69 = 13,407.12/x
  3. Step 3: Cross multiply
    38,715.95x = 58,050.69 × 13,407.12
  4. Step 4: Simplify right side
    38,715.95x = 778,292,605.96
  5. Step 5: Solve for x
    x = 778,292,605.96/38,715.95
  6. Step 6: Final answer
    x = 20,102.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.