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Finding the Fourth Proportional to 7,206.55, 9,947.52 and 4,223.35

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Solution

The fourth proportional to 7,206.55, 9,947.52 and 4,223.35 is: 5,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.55 : 9,947.52 = 4,223.35 : x
  2. Step 2: Convert to fraction form
    7,206.55/9,947.52 = 4,223.35/x
  3. Step 3: Cross multiply
    7,206.55x = 9,947.52 × 4,223.35
  4. Step 4: Simplify right side
    7,206.55x = 42,011,787.74
  5. Step 5: Solve for x
    x = 42,011,787.74/7,206.55
  6. Step 6: Final answer
    x = 5,829.67

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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.