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Finding the Fourth Proportional to 7,856.60, 10,840.80 and 5,207.60

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Solution

The fourth proportional to 7,856.60, 10,840.80 and 5,207.60 is: 7,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.60 : 10,840.80 = 5,207.60 : x
  2. Step 2: Convert to fraction form
    7,856.60/10,840.80 = 5,207.60/x
  3. Step 3: Cross multiply
    7,856.60x = 10,840.80 × 5,207.60
  4. Step 4: Simplify right side
    7,856.60x = 56,454,550.08
  5. Step 5: Solve for x
    x = 56,454,550.08/7,856.60
  6. Step 6: Final answer
    x = 7,185.62

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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.