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Finding the Fourth Proportional to 7,915.68, 10,923.21 and 4,378.23

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Solution

The fourth proportional to 7,915.68, 10,923.21 and 4,378.23 is: 6,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,915.68 : 10,923.21 = 4,378.23 : x
  2. Step 2: Convert to fraction form
    7,915.68/10,923.21 = 4,378.23/x
  3. Step 3: Cross multiply
    7,915.68x = 10,923.21 × 4,378.23
  4. Step 4: Simplify right side
    7,915.68x = 47,824,325.72
  5. Step 5: Solve for x
    x = 47,824,325.72/7,915.68
  6. Step 6: Final answer
    x = 6,041.72

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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.