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Finding the Fourth Proportional to 5,153.76, 7,763.04 and 5,085.72

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Solution

The fourth proportional to 5,153.76, 7,763.04 and 5,085.72 is: 7,660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.76 : 7,763.04 = 5,085.72 : x
  2. Step 2: Convert to fraction form
    5,153.76/7,763.04 = 5,085.72/x
  3. Step 3: Cross multiply
    5,153.76x = 7,763.04 × 5,085.72
  4. Step 4: Simplify right side
    5,153.76x = 39,480,647.79
  5. Step 5: Solve for x
    x = 39,480,647.79/5,153.76
  6. Step 6: Final answer
    x = 7,660.55

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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.