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Finding the Fourth Proportional to 7,405, 10,218.48 and 4,047.16

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Solution

The fourth proportional to 7,405, 10,218.48 and 4,047.16 is: 5,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405 : 10,218.48 = 4,047.16 : x
  2. Step 2: Convert to fraction form
    7,405/10,218.48 = 4,047.16/x
  3. Step 3: Cross multiply
    7,405x = 10,218.48 × 4,047.16
  4. Step 4: Simplify right side
    7,405x = 41,355,823.52
  5. Step 5: Solve for x
    x = 41,355,823.52/7,405
  6. Step 6: Final answer
    x = 5,584.85

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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.