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Finding the Fourth Proportional to 7,038.90, 9,712.74 and 4,054.50

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Solution

The fourth proportional to 7,038.90, 9,712.74 and 4,054.50 is: 5,594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.90 : 9,712.74 = 4,054.50 : x
  2. Step 2: Convert to fraction form
    7,038.90/9,712.74 = 4,054.50/x
  3. Step 3: Cross multiply
    7,038.90x = 9,712.74 × 4,054.50
  4. Step 4: Simplify right side
    7,038.90x = 39,380,304.33
  5. Step 5: Solve for x
    x = 39,380,304.33/7,038.90
  6. Step 6: Final answer
    x = 5,594.67

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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.