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Finding the Fourth Proportional to 7,852.80, 11,780.64 and 3,470.40

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Solution

The fourth proportional to 7,852.80, 11,780.64 and 3,470.40 is: 5,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.80 : 11,780.64 = 3,470.40 : x
  2. Step 2: Convert to fraction form
    7,852.80/11,780.64 = 3,470.40/x
  3. Step 3: Cross multiply
    7,852.80x = 11,780.64 × 3,470.40
  4. Step 4: Simplify right side
    7,852.80x = 40,883,533.06
  5. Step 5: Solve for x
    x = 40,883,533.06/7,852.80
  6. Step 6: Final answer
    x = 5,206.24

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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.