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Finding the Fourth Proportional to 14,970, 22,455.06 and 3,875.90

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Solution

The fourth proportional to 14,970, 22,455.06 and 3,875.90 is: 5,813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970 : 22,455.06 = 3,875.90 : x
  2. Step 2: Convert to fraction form
    14,970/22,455.06 = 3,875.90/x
  3. Step 3: Cross multiply
    14,970x = 22,455.06 × 3,875.90
  4. Step 4: Simplify right side
    14,970x = 87,033,567.05
  5. Step 5: Solve for x
    x = 87,033,567.05/14,970
  6. Step 6: Final answer
    x = 5,813.87

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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.