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Finding the Fourth Proportional to 7,235.86, 9,982.59 and 4,720.18

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Solution

The fourth proportional to 7,235.86, 9,982.59 and 4,720.18 is: 6,511.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.86 : 9,982.59 = 4,720.18 : x
  2. Step 2: Convert to fraction form
    7,235.86/9,982.59 = 4,720.18/x
  3. Step 3: Cross multiply
    7,235.86x = 9,982.59 × 4,720.18
  4. Step 4: Simplify right side
    7,235.86x = 47,119,621.67
  5. Step 5: Solve for x
    x = 47,119,621.67/7,235.86
  6. Step 6: Final answer
    x = 6,511.96

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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.