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Finding the Fourth Proportional to 7,869.76, 11,851.21 and 5,693.74

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Solution

The fourth proportional to 7,869.76, 11,851.21 and 5,693.74 is: 8,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.76 : 11,851.21 = 5,693.74 : x
  2. Step 2: Convert to fraction form
    7,869.76/11,851.21 = 5,693.74/x
  3. Step 3: Cross multiply
    7,869.76x = 11,851.21 × 5,693.74
  4. Step 4: Simplify right side
    7,869.76x = 67,477,708.43
  5. Step 5: Solve for x
    x = 67,477,708.43/7,869.76
  6. Step 6: Final answer
    x = 8,574.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.