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Finding the Fourth Proportional to 6,461.91, 8,904.29 and 6,113.25

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Solution

The fourth proportional to 6,461.91, 8,904.29 and 6,113.25 is: 8,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.91 : 8,904.29 = 6,113.25 : x
  2. Step 2: Convert to fraction form
    6,461.91/8,904.29 = 6,113.25/x
  3. Step 3: Cross multiply
    6,461.91x = 8,904.29 × 6,113.25
  4. Step 4: Simplify right side
    6,461.91x = 54,434,120.28
  5. Step 5: Solve for x
    x = 54,434,120.28/6,461.91
  6. Step 6: Final answer
    x = 8,423.84

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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.