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Finding the Fourth Proportional to 8,931.63, 12,313.96 and 7,686.05

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Solution

The fourth proportional to 8,931.63, 12,313.96 and 7,686.05 is: 10,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.63 : 12,313.96 = 7,686.05 : x
  2. Step 2: Convert to fraction form
    8,931.63/12,313.96 = 7,686.05/x
  3. Step 3: Cross multiply
    8,931.63x = 12,313.96 × 7,686.05
  4. Step 4: Simplify right side
    8,931.63x = 94,645,723.83
  5. Step 5: Solve for x
    x = 94,645,723.83/8,931.63
  6. Step 6: Final answer
    x = 10,596.69

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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.