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Finding the Fourth Proportional to 14,285.74, 21,433.74 and 6,387.58

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Solution

The fourth proportional to 14,285.74, 21,433.74 and 6,387.58 is: 9,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.74 : 21,433.74 = 6,387.58 : x
  2. Step 2: Convert to fraction form
    14,285.74/21,433.74 = 6,387.58/x
  3. Step 3: Cross multiply
    14,285.74x = 21,433.74 × 6,387.58
  4. Step 4: Simplify right side
    14,285.74x = 136,909,728.95
  5. Step 5: Solve for x
    x = 136,909,728.95/14,285.74
  6. Step 6: Final answer
    x = 9,583.66

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1.5x scale

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.