Home / 5,023-6,931.74-2,927.13

Finding the Fourth Proportional to 5,023, 6,931.74 and 2,927.13

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Solution

The fourth proportional to 5,023, 6,931.74 and 2,927.13 is: 4,039.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023 : 6,931.74 = 2,927.13 : x
  2. Step 2: Convert to fraction form
    5,023/6,931.74 = 2,927.13/x
  3. Step 3: Cross multiply
    5,023x = 6,931.74 × 2,927.13
  4. Step 4: Simplify right side
    5,023x = 20,290,104.11
  5. Step 5: Solve for x
    x = 20,290,104.11/5,023
  6. Step 6: Final answer
    x = 4,039.44

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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.