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Finding the Fourth Proportional to 7,038.21, 9,713.03 and 3,894.40

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Solution

The fourth proportional to 7,038.21, 9,713.03 and 3,894.40 is: 5,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.21 : 9,713.03 = 3,894.40 : x
  2. Step 2: Convert to fraction form
    7,038.21/9,713.03 = 3,894.40/x
  3. Step 3: Cross multiply
    7,038.21x = 9,713.03 × 3,894.40
  4. Step 4: Simplify right side
    7,038.21x = 37,826,438.61
  5. Step 5: Solve for x
    x = 37,826,438.61/7,038.21
  6. Step 6: Final answer
    x = 5,374.44

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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.