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Finding the Fourth Proportional to 7,038.37, 9,713.16 and 3,894.55

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Solution

The fourth proportional to 7,038.37, 9,713.16 and 3,894.55 is: 5,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.37 : 9,713.16 = 3,894.55 : x
  2. Step 2: Convert to fraction form
    7,038.37/9,713.16 = 3,894.55/x
  3. Step 3: Cross multiply
    7,038.37x = 9,713.16 × 3,894.55
  4. Step 4: Simplify right side
    7,038.37x = 37,828,338.71
  5. Step 5: Solve for x
    x = 37,828,338.71/7,038.37
  6. Step 6: Final answer
    x = 5,374.59

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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.