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Finding the Fourth Proportional to 6,309.54, 9,470.76 and 5,210.40

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Solution

The fourth proportional to 6,309.54, 9,470.76 and 5,210.40 is: 7,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.54 : 9,470.76 = 5,210.40 : x
  2. Step 2: Convert to fraction form
    6,309.54/9,470.76 = 5,210.40/x
  3. Step 3: Cross multiply
    6,309.54x = 9,470.76 × 5,210.40
  4. Step 4: Simplify right side
    6,309.54x = 49,346,447.90
  5. Step 5: Solve for x
    x = 49,346,447.90/6,309.54
  6. Step 6: Final answer
    x = 7,820.93

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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.