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Finding the Fourth Proportional to 6,123.78, 8,454.87 and 4,704.93

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Solution

The fourth proportional to 6,123.78, 8,454.87 and 4,704.93 is: 6,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.78 : 8,454.87 = 4,704.93 : x
  2. Step 2: Convert to fraction form
    6,123.78/8,454.87 = 4,704.93/x
  3. Step 3: Cross multiply
    6,123.78x = 8,454.87 × 4,704.93
  4. Step 4: Simplify right side
    6,123.78x = 39,779,571.51
  5. Step 5: Solve for x
    x = 39,779,571.51/6,123.78
  6. Step 6: Final answer
    x = 6,495.92

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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.