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Finding the Fourth Proportional to 9,138, 12,606.84 and 5,779.56

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Solution

The fourth proportional to 9,138, 12,606.84 and 5,779.56 is: 7,973.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138 : 12,606.84 = 5,779.56 : x
  2. Step 2: Convert to fraction form
    9,138/12,606.84 = 5,779.56/x
  3. Step 3: Cross multiply
    9,138x = 12,606.84 × 5,779.56
  4. Step 4: Simplify right side
    9,138x = 72,861,988.19
  5. Step 5: Solve for x
    x = 72,861,988.19/9,138
  6. Step 6: Final answer
    x = 7,973.52

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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.