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Finding the Fourth Proportional to 10,449.79, 14,406.47 and 7,460.43

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Solution

The fourth proportional to 10,449.79, 14,406.47 and 7,460.43 is: 10,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.79 : 14,406.47 = 7,460.43 : x
  2. Step 2: Convert to fraction form
    10,449.79/14,406.47 = 7,460.43/x
  3. Step 3: Cross multiply
    10,449.79x = 14,406.47 × 7,460.43
  4. Step 4: Simplify right side
    10,449.79x = 107,478,397.63
  5. Step 5: Solve for x
    x = 107,478,397.63/10,449.79
  6. Step 6: Final answer
    x = 10,285.22

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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.