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Finding the Fourth Proportional to 10,510.12, 15,768.27 and 3,114.79

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Solution

The fourth proportional to 10,510.12, 15,768.27 and 3,114.79 is: 4,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.12 : 15,768.27 = 3,114.79 : x
  2. Step 2: Convert to fraction form
    10,510.12/15,768.27 = 3,114.79/x
  3. Step 3: Cross multiply
    10,510.12x = 15,768.27 × 3,114.79
  4. Step 4: Simplify right side
    10,510.12x = 49,114,849.71
  5. Step 5: Solve for x
    x = 49,114,849.71/10,510.12
  6. Step 6: Final answer
    x = 4,673.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.