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Finding the Fourth Proportional to 7,851, 10,833.90 and 4,314.12

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Solution

The fourth proportional to 7,851, 10,833.90 and 4,314.12 is: 5,953.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851 : 10,833.90 = 4,314.12 : x
  2. Step 2: Convert to fraction form
    7,851/10,833.90 = 4,314.12/x
  3. Step 3: Cross multiply
    7,851x = 10,833.90 × 4,314.12
  4. Step 4: Simplify right side
    7,851x = 46,738,744.67
  5. Step 5: Solve for x
    x = 46,738,744.67/7,851
  6. Step 6: Final answer
    x = 5,953.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.