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Finding the Fourth Proportional to 9,615, 13,269.72 and 5,639.46

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Solution

The fourth proportional to 9,615, 13,269.72 and 5,639.46 is: 7,783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615 : 13,269.72 = 5,639.46 : x
  2. Step 2: Convert to fraction form
    9,615/13,269.72 = 5,639.46/x
  3. Step 3: Cross multiply
    9,615x = 13,269.72 × 5,639.46
  4. Step 4: Simplify right side
    9,615x = 74,834,055.15
  5. Step 5: Solve for x
    x = 74,834,055.15/9,615
  6. Step 6: Final answer
    x = 7,783.05

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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.