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Finding the Fourth Proportional to 7,090.74, 9,787.08 and 4,851.80

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Solution

The fourth proportional to 7,090.74, 9,787.08 and 4,851.80 is: 6,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.74 : 9,787.08 = 4,851.80 : x
  2. Step 2: Convert to fraction form
    7,090.74/9,787.08 = 4,851.80/x
  3. Step 3: Cross multiply
    7,090.74x = 9,787.08 × 4,851.80
  4. Step 4: Simplify right side
    7,090.74x = 47,484,954.74
  5. Step 5: Solve for x
    x = 47,484,954.74/7,090.74
  6. Step 6: Final answer
    x = 6,696.76

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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.