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Finding the Fourth Proportional to 7,013.04, 9,679.68 and 4,218

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Solution

The fourth proportional to 7,013.04, 9,679.68 and 4,218 is: 5,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.04 : 9,679.68 = 4,218 : x
  2. Step 2: Convert to fraction form
    7,013.04/9,679.68 = 4,218/x
  3. Step 3: Cross multiply
    7,013.04x = 9,679.68 × 4,218
  4. Step 4: Simplify right side
    7,013.04x = 40,828,890.24
  5. Step 5: Solve for x
    x = 40,828,890.24/7,013.04
  6. Step 6: Final answer
    x = 5,821.85

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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.