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Finding the Fourth Proportional to 12,477.96, 18,733.32 and 9,722.28

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Solution

The fourth proportional to 12,477.96, 18,733.32 and 9,722.28 is: 14,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.96 : 18,733.32 = 9,722.28 : x
  2. Step 2: Convert to fraction form
    12,477.96/18,733.32 = 9,722.28/x
  3. Step 3: Cross multiply
    12,477.96x = 18,733.32 × 9,722.28
  4. Step 4: Simplify right side
    12,477.96x = 182,130,582.37
  5. Step 5: Solve for x
    x = 182,130,582.37/12,477.96
  6. Step 6: Final answer
    x = 14,596.18

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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.