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Finding the Fourth Proportional to 7,866.80, 10,856.37 and 4,680.47

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Solution

The fourth proportional to 7,866.80, 10,856.37 and 4,680.47 is: 6,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.80 : 10,856.37 = 4,680.47 : x
  2. Step 2: Convert to fraction form
    7,866.80/10,856.37 = 4,680.47/x
  3. Step 3: Cross multiply
    7,866.80x = 10,856.37 × 4,680.47
  4. Step 4: Simplify right side
    7,866.80x = 50,812,914.09
  5. Step 5: Solve for x
    x = 50,812,914.09/7,866.80
  6. Step 6: Final answer
    x = 6,459.16

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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.