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Finding the Fourth Proportional to 5,200.96, 7,800.84 and 1,305.07

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Solution

The fourth proportional to 5,200.96, 7,800.84 and 1,305.07 is: 1,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.96 : 7,800.84 = 1,305.07 : x
  2. Step 2: Convert to fraction form
    5,200.96/7,800.84 = 1,305.07/x
  3. Step 3: Cross multiply
    5,200.96x = 7,800.84 × 1,305.07
  4. Step 4: Simplify right side
    5,200.96x = 10,180,642.26
  5. Step 5: Solve for x
    x = 10,180,642.26/5,200.96
  6. Step 6: Final answer
    x = 1,957.45

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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.