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Finding the Fourth Proportional to 10,509.90, 15,762.63 and 3,114.42

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Solution

The fourth proportional to 10,509.90, 15,762.63 and 3,114.42 is: 4,670.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.90 : 15,762.63 = 3,114.42 : x
  2. Step 2: Convert to fraction form
    10,509.90/15,762.63 = 3,114.42/x
  3. Step 3: Cross multiply
    10,509.90x = 15,762.63 × 3,114.42
  4. Step 4: Simplify right side
    10,509.90x = 49,091,450.12
  5. Step 5: Solve for x
    x = 49,091,450.12/10,509.90
  6. Step 6: Final answer
    x = 4,670.97

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Why These Related Problems?

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