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Finding the Fourth Proportional to 10,463.36, 14,443.80 and 7,480.40

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Solution

The fourth proportional to 10,463.36, 14,443.80 and 7,480.40 is: 10,326.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.36 : 14,443.80 = 7,480.40 : x
  2. Step 2: Convert to fraction form
    10,463.36/14,443.80 = 7,480.40/x
  3. Step 3: Cross multiply
    10,463.36x = 14,443.80 × 7,480.40
  4. Step 4: Simplify right side
    10,463.36x = 108,045,401.52
  5. Step 5: Solve for x
    x = 108,045,401.52/10,463.36
  6. Step 6: Final answer
    x = 10,326.07

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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.