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Finding the Fourth Proportional to 42,019, 63,038.74 and 12,835

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Solution

The fourth proportional to 42,019, 63,038.74 and 12,835 is: 19,255.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,019 : 63,038.74 = 12,835 : x
  2. Step 2: Convert to fraction form
    42,019/63,038.74 = 12,835/x
  3. Step 3: Cross multiply
    42,019x = 63,038.74 × 12,835
  4. Step 4: Simplify right side
    42,019x = 809,102,227.90
  5. Step 5: Solve for x
    x = 809,102,227.90/42,019
  6. Step 6: Final answer
    x = 19,255.63

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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.