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Finding the Fourth Proportional to 6,506.40, 8,977.05 and 4,146.60

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Solution

The fourth proportional to 6,506.40, 8,977.05 and 4,146.60 is: 5,721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.40 : 8,977.05 = 4,146.60 : x
  2. Step 2: Convert to fraction form
    6,506.40/8,977.05 = 4,146.60/x
  3. Step 3: Cross multiply
    6,506.40x = 8,977.05 × 4,146.60
  4. Step 4: Simplify right side
    6,506.40x = 37,224,235.53
  5. Step 5: Solve for x
    x = 37,224,235.53/6,506.40
  6. Step 6: Final answer
    x = 5,721.17

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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.