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Finding the Fourth Proportional to 8,477.66, 12,704.16 and 7,435.10

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Solution

The fourth proportional to 8,477.66, 12,704.16 and 7,435.10 is: 11,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.66 : 12,704.16 = 7,435.10 : x
  2. Step 2: Convert to fraction form
    8,477.66/12,704.16 = 7,435.10/x
  3. Step 3: Cross multiply
    8,477.66x = 12,704.16 × 7,435.10
  4. Step 4: Simplify right side
    8,477.66x = 94,456,700.02
  5. Step 5: Solve for x
    x = 94,456,700.02/8,477.66
  6. Step 6: Final answer
    x = 11,141.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.