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Finding the Fourth Proportional to 4,977.40, 7,407.34 and 4,811.32

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Solution

The fourth proportional to 4,977.40, 7,407.34 and 4,811.32 is: 7,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.40 : 7,407.34 = 4,811.32 : x
  2. Step 2: Convert to fraction form
    4,977.40/7,407.34 = 4,811.32/x
  3. Step 3: Cross multiply
    4,977.40x = 7,407.34 × 4,811.32
  4. Step 4: Simplify right side
    4,977.40x = 35,639,059.03
  5. Step 5: Solve for x
    x = 35,639,059.03/4,977.40
  6. Step 6: Final answer
    x = 7,160.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.