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Finding the Fourth Proportional to 14,140.59, 21,208.94 and 7,827.14

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Solution

The fourth proportional to 14,140.59, 21,208.94 and 7,827.14 is: 11,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.59 : 21,208.94 = 7,827.14 : x
  2. Step 2: Convert to fraction form
    14,140.59/21,208.94 = 7,827.14/x
  3. Step 3: Cross multiply
    14,140.59x = 21,208.94 × 7,827.14
  4. Step 4: Simplify right side
    14,140.59x = 166,005,303.50
  5. Step 5: Solve for x
    x = 166,005,303.50/14,140.59
  6. Step 6: Final answer
    x = 11,739.63

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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.