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Finding the Fourth Proportional to 6,461.76, 8,911.17 and 5,139.84

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Solution

The fourth proportional to 6,461.76, 8,911.17 and 5,139.84 is: 7,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.76 : 8,911.17 = 5,139.84 : x
  2. Step 2: Convert to fraction form
    6,461.76/8,911.17 = 5,139.84/x
  3. Step 3: Cross multiply
    6,461.76x = 8,911.17 × 5,139.84
  4. Step 4: Simplify right side
    6,461.76x = 45,801,988.01
  5. Step 5: Solve for x
    x = 45,801,988.01/6,461.76
  6. Step 6: Final answer
    x = 7,088.16

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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.