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Finding the Fourth Proportional to 7,271.28, 10,029 and 4,616.40

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Solution

The fourth proportional to 7,271.28, 10,029 and 4,616.40 is: 6,367.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.28 : 10,029 = 4,616.40 : x
  2. Step 2: Convert to fraction form
    7,271.28/10,029 = 4,616.40/x
  3. Step 3: Cross multiply
    7,271.28x = 10,029 × 4,616.40
  4. Step 4: Simplify right side
    7,271.28x = 46,297,875.60
  5. Step 5: Solve for x
    x = 46,297,875.60/7,271.28
  6. Step 6: Final answer
    x = 6,367.22

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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.