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Finding the Fourth Proportional to 12,159, 16,779.54 and 6,853.56

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Solution

The fourth proportional to 12,159, 16,779.54 and 6,853.56 is: 9,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159 : 16,779.54 = 6,853.56 : x
  2. Step 2: Convert to fraction form
    12,159/16,779.54 = 6,853.56/x
  3. Step 3: Cross multiply
    12,159x = 16,779.54 × 6,853.56
  4. Step 4: Simplify right side
    12,159x = 114,999,584.16
  5. Step 5: Solve for x
    x = 114,999,584.16/12,159
  6. Step 6: Final answer
    x = 9,457.98

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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.