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Finding the Fourth Proportional to 9,615, 13,268.91 and 5,423.25

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Solution

The fourth proportional to 9,615, 13,268.91 and 5,423.25 is: 7,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615 : 13,268.91 = 5,423.25 : x
  2. Step 2: Convert to fraction form
    9,615/13,268.91 = 5,423.25/x
  3. Step 3: Cross multiply
    9,615x = 13,268.91 × 5,423.25
  4. Step 4: Simplify right side
    9,615x = 71,960,616.16
  5. Step 5: Solve for x
    x = 71,960,616.16/9,615
  6. Step 6: Final answer
    x = 7,484.20

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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.