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Finding the Fourth Proportional to 8,510.78, 12,774.81 and 5,383.10

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Solution

The fourth proportional to 8,510.78, 12,774.81 and 5,383.10 is: 8,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.78 : 12,774.81 = 5,383.10 : x
  2. Step 2: Convert to fraction form
    8,510.78/12,774.81 = 5,383.10/x
  3. Step 3: Cross multiply
    8,510.78x = 12,774.81 × 5,383.10
  4. Step 4: Simplify right side
    8,510.78x = 68,768,079.71
  5. Step 5: Solve for x
    x = 68,768,079.71/8,510.78
  6. Step 6: Final answer
    x = 8,080.11

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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.