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Finding the Fourth Proportional to 7,408.61, 10,219.07 and 4,751.81

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Solution

The fourth proportional to 7,408.61, 10,219.07 and 4,751.81 is: 6,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.61 : 10,219.07 = 4,751.81 : x
  2. Step 2: Convert to fraction form
    7,408.61/10,219.07 = 4,751.81/x
  3. Step 3: Cross multiply
    7,408.61x = 10,219.07 × 4,751.81
  4. Step 4: Simplify right side
    7,408.61x = 48,559,055.26
  5. Step 5: Solve for x
    x = 48,559,055.26/7,408.61
  6. Step 6: Final answer
    x = 6,554.41

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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.