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Finding the Fourth Proportional to 12,833.60, 17,703.12 and 7,527.28

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Solution

The fourth proportional to 12,833.60, 17,703.12 and 7,527.28 is: 10,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.60 : 17,703.12 = 7,527.28 : x
  2. Step 2: Convert to fraction form
    12,833.60/17,703.12 = 7,527.28/x
  3. Step 3: Cross multiply
    12,833.60x = 17,703.12 × 7,527.28
  4. Step 4: Simplify right side
    12,833.60x = 133,256,341.11
  5. Step 5: Solve for x
    x = 133,256,341.11/12,833.60
  6. Step 6: Final answer
    x = 10,383.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.