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Finding the Fourth Proportional to 7,780.50, 10,737.09 and 4,986.18

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Solution

The fourth proportional to 7,780.50, 10,737.09 and 4,986.18 is: 6,880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.50 : 10,737.09 = 4,986.18 : x
  2. Step 2: Convert to fraction form
    7,780.50/10,737.09 = 4,986.18/x
  3. Step 3: Cross multiply
    7,780.50x = 10,737.09 × 4,986.18
  4. Step 4: Simplify right side
    7,780.50x = 53,537,063.42
  5. Step 5: Solve for x
    x = 53,537,063.42/7,780.50
  6. Step 6: Final answer
    x = 6,880.93

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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.