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Finding the Fourth Proportional to 7,828.80, 10,803.72 and 4,292

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Solution

The fourth proportional to 7,828.80, 10,803.72 and 4,292 is: 5,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.80 : 10,803.72 = 4,292 : x
  2. Step 2: Convert to fraction form
    7,828.80/10,803.72 = 4,292/x
  3. Step 3: Cross multiply
    7,828.80x = 10,803.72 × 4,292
  4. Step 4: Simplify right side
    7,828.80x = 46,369,566.24
  5. Step 5: Solve for x
    x = 46,369,566.24/7,828.80
  6. Step 6: Final answer
    x = 5,922.95

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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.