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Finding the Fourth Proportional to 9,430.30, 12,998.64 and 8,304.04

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Solution

The fourth proportional to 9,430.30, 12,998.64 and 8,304.04 is: 11,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.30 : 12,998.64 = 8,304.04 : x
  2. Step 2: Convert to fraction form
    9,430.30/12,998.64 = 8,304.04/x
  3. Step 3: Cross multiply
    9,430.30x = 12,998.64 × 8,304.04
  4. Step 4: Simplify right side
    9,430.30x = 107,941,226.51
  5. Step 5: Solve for x
    x = 107,941,226.51/9,430.30
  6. Step 6: Final answer
    x = 11,446.21

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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.