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Finding the Fourth Proportional to 7,835.60, 10,809.47 and 6,940.24

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Solution

The fourth proportional to 7,835.60, 10,809.47 and 6,940.24 is: 9,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.60 : 10,809.47 = 6,940.24 : x
  2. Step 2: Convert to fraction form
    7,835.60/10,809.47 = 6,940.24/x
  3. Step 3: Cross multiply
    7,835.60x = 10,809.47 × 6,940.24
  4. Step 4: Simplify right side
    7,835.60x = 75,020,306.40
  5. Step 5: Solve for x
    x = 75,020,306.40/7,835.60
  6. Step 6: Final answer
    x = 9,574.29

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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.