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Finding the Fourth Proportional to 10,502.25, 14,493.51 and 5,786.43

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Solution

The fourth proportional to 10,502.25, 14,493.51 and 5,786.43 is: 7,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.25 : 14,493.51 = 5,786.43 : x
  2. Step 2: Convert to fraction form
    10,502.25/14,493.51 = 5,786.43/x
  3. Step 3: Cross multiply
    10,502.25x = 14,493.51 × 5,786.43
  4. Step 4: Simplify right side
    10,502.25x = 83,865,681.07
  5. Step 5: Solve for x
    x = 83,865,681.07/10,502.25
  6. Step 6: Final answer
    x = 7,985.50

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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.