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Finding the Fourth Proportional to 42,506.49, 63,762.02 and 12,922.08

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Solution

The fourth proportional to 42,506.49, 63,762.02 and 12,922.08 is: 19,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,506.49 : 63,762.02 = 12,922.08 : x
  2. Step 2: Convert to fraction form
    42,506.49/63,762.02 = 12,922.08/x
  3. Step 3: Cross multiply
    42,506.49x = 63,762.02 × 12,922.08
  4. Step 4: Simplify right side
    42,506.49x = 823,937,923.40
  5. Step 5: Solve for x
    x = 823,937,923.40/42,506.49
  6. Step 6: Final answer
    x = 19,383.81

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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.