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Finding the Fourth Proportional to 4,718.16, 7,077.24 and 1,255.76

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Solution

The fourth proportional to 4,718.16, 7,077.24 and 1,255.76 is: 1,883.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.16 : 7,077.24 = 1,255.76 : x
  2. Step 2: Convert to fraction form
    4,718.16/7,077.24 = 1,255.76/x
  3. Step 3: Cross multiply
    4,718.16x = 7,077.24 × 1,255.76
  4. Step 4: Simplify right side
    4,718.16x = 8,887,314.90
  5. Step 5: Solve for x
    x = 8,887,314.90/4,718.16
  6. Step 6: Final answer
    x = 1,883.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.