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Finding the Fourth Proportional to 8,484.62, 11,710.13 and 5,127.84

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Solution

The fourth proportional to 8,484.62, 11,710.13 and 5,127.84 is: 7,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.62 : 11,710.13 = 5,127.84 : x
  2. Step 2: Convert to fraction form
    8,484.62/11,710.13 = 5,127.84/x
  3. Step 3: Cross multiply
    8,484.62x = 11,710.13 × 5,127.84
  4. Step 4: Simplify right side
    8,484.62x = 60,047,647.38
  5. Step 5: Solve for x
    x = 60,047,647.38/8,484.62
  6. Step 6: Final answer
    x = 7,077.24

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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.