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Finding the Fourth Proportional to 6,415.76, 8,854.67 and 4,629.15

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Solution

The fourth proportional to 6,415.76, 8,854.67 and 4,629.15 is: 6,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.76 : 8,854.67 = 4,629.15 : x
  2. Step 2: Convert to fraction form
    6,415.76/8,854.67 = 4,629.15/x
  3. Step 3: Cross multiply
    6,415.76x = 8,854.67 × 4,629.15
  4. Step 4: Simplify right side
    6,415.76x = 40,989,581.16
  5. Step 5: Solve for x
    x = 40,989,581.16/6,415.76
  6. Step 6: Final answer
    x = 6,388.89

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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.