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Finding the Fourth Proportional to 14,646.51, 21,980.66 and 8,409.51

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Solution

The fourth proportional to 14,646.51, 21,980.66 and 8,409.51 is: 12,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.51 : 21,980.66 = 8,409.51 : x
  2. Step 2: Convert to fraction form
    14,646.51/21,980.66 = 8,409.51/x
  3. Step 3: Cross multiply
    14,646.51x = 21,980.66 × 8,409.51
  4. Step 4: Simplify right side
    14,646.51x = 184,846,538.03
  5. Step 5: Solve for x
    x = 184,846,538.03/14,646.51
  6. Step 6: Final answer
    x = 12,620.52

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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.