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Finding the Fourth Proportional to 12,298.51, 18,453.16 and 6,453.75

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Solution

The fourth proportional to 12,298.51, 18,453.16 and 6,453.75 is: 9,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.51 : 18,453.16 = 6,453.75 : x
  2. Step 2: Convert to fraction form
    12,298.51/18,453.16 = 6,453.75/x
  3. Step 3: Cross multiply
    12,298.51x = 18,453.16 × 6,453.75
  4. Step 4: Simplify right side
    12,298.51x = 119,092,081.35
  5. Step 5: Solve for x
    x = 119,092,081.35/12,298.51
  6. Step 6: Final answer
    x = 9,683.46

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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.