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Finding the Fourth Proportional to 42,506.81, 63,762.49 and 12,922.40

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Solution

The fourth proportional to 42,506.81, 63,762.49 and 12,922.40 is: 19,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,506.81 : 63,762.49 = 12,922.40 : x
  2. Step 2: Convert to fraction form
    42,506.81/63,762.49 = 12,922.40/x
  3. Step 3: Cross multiply
    42,506.81x = 63,762.49 × 12,922.40
  4. Step 4: Simplify right side
    42,506.81x = 823,964,576.34
  5. Step 5: Solve for x
    x = 823,964,576.34/42,506.81
  6. Step 6: Final answer
    x = 19,384.30

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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.