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Finding the Fourth Proportional to 7,038.49, 9,708.94 and 4,385.38

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Solution

The fourth proportional to 7,038.49, 9,708.94 and 4,385.38 is: 6,049.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.49 : 9,708.94 = 4,385.38 : x
  2. Step 2: Convert to fraction form
    7,038.49/9,708.94 = 4,385.38/x
  3. Step 3: Cross multiply
    7,038.49x = 9,708.94 × 4,385.38
  4. Step 4: Simplify right side
    7,038.49x = 42,577,391.30
  5. Step 5: Solve for x
    x = 42,577,391.30/7,038.49
  6. Step 6: Final answer
    x = 6,049.22

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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.