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Finding the Fourth Proportional to 7,182.59, 9,912.87 and 4,038.75

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Solution

The fourth proportional to 7,182.59, 9,912.87 and 4,038.75 is: 5,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.59 : 9,912.87 = 4,038.75 : x
  2. Step 2: Convert to fraction form
    7,182.59/9,912.87 = 4,038.75/x
  3. Step 3: Cross multiply
    7,182.59x = 9,912.87 × 4,038.75
  4. Step 4: Simplify right side
    7,182.59x = 40,035,603.71
  5. Step 5: Solve for x
    x = 40,035,603.71/7,182.59
  6. Step 6: Final answer
    x = 5,573.98

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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.