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Finding the Fourth Proportional to 8,430.59, 12,660.23 and 8,077.93

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Solution

The fourth proportional to 8,430.59, 12,660.23 and 8,077.93 is: 12,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.59 : 12,660.23 = 8,077.93 : x
  2. Step 2: Convert to fraction form
    8,430.59/12,660.23 = 8,077.93/x
  3. Step 3: Cross multiply
    8,430.59x = 12,660.23 × 8,077.93
  4. Step 4: Simplify right side
    8,430.59x = 102,268,451.72
  5. Step 5: Solve for x
    x = 102,268,451.72/8,430.59
  6. Step 6: Final answer
    x = 12,130.64

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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.