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Finding the Fourth Proportional to 10,120.65, 13,968.18 and 5,875.23

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Solution

The fourth proportional to 10,120.65, 13,968.18 and 5,875.23 is: 8,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120.65 : 13,968.18 = 5,875.23 : x
  2. Step 2: Convert to fraction form
    10,120.65/13,968.18 = 5,875.23/x
  3. Step 3: Cross multiply
    10,120.65x = 13,968.18 × 5,875.23
  4. Step 4: Simplify right side
    10,120.65x = 82,066,240.81
  5. Step 5: Solve for x
    x = 82,066,240.81/10,120.65
  6. Step 6: Final answer
    x = 8,108.80

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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.