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Finding the Fourth Proportional to 13,083, 18,054.27 and 7,114.47

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Solution

The fourth proportional to 13,083, 18,054.27 and 7,114.47 is: 9,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083 : 18,054.27 = 7,114.47 : x
  2. Step 2: Convert to fraction form
    13,083/18,054.27 = 7,114.47/x
  3. Step 3: Cross multiply
    13,083x = 18,054.27 × 7,114.47
  4. Step 4: Simplify right side
    13,083x = 128,446,562.29
  5. Step 5: Solve for x
    x = 128,446,562.29/13,083
  6. Step 6: Final answer
    x = 9,817.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.