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Finding the Fourth Proportional to 7,237.60, 10,856.40 and 6,805.60

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Solution

The fourth proportional to 7,237.60, 10,856.40 and 6,805.60 is: 10,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.60 : 10,856.40 = 6,805.60 : x
  2. Step 2: Convert to fraction form
    7,237.60/10,856.40 = 6,805.60/x
  3. Step 3: Cross multiply
    7,237.60x = 10,856.40 × 6,805.60
  4. Step 4: Simplify right side
    7,237.60x = 73,884,315.84
  5. Step 5: Solve for x
    x = 73,884,315.84/7,237.60
  6. Step 6: Final answer
    x = 10,208.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.