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Finding the Fourth Proportional to 11,900.48, 16,430.20 and 7,653.52

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Solution

The fourth proportional to 11,900.48, 16,430.20 and 7,653.52 is: 10,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.48 : 16,430.20 = 7,653.52 : x
  2. Step 2: Convert to fraction form
    11,900.48/16,430.20 = 7,653.52/x
  3. Step 3: Cross multiply
    11,900.48x = 16,430.20 × 7,653.52
  4. Step 4: Simplify right side
    11,900.48x = 125,748,864.30
  5. Step 5: Solve for x
    x = 125,748,864.30/11,900.48
  6. Step 6: Final answer
    x = 10,566.71

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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.