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Finding the Fourth Proportional to 10,291.40, 14,210.10 and 8,311.40

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Solution

The fourth proportional to 10,291.40, 14,210.10 and 8,311.40 is: 11,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.40 : 14,210.10 = 8,311.40 : x
  2. Step 2: Convert to fraction form
    10,291.40/14,210.10 = 8,311.40/x
  3. Step 3: Cross multiply
    10,291.40x = 14,210.10 × 8,311.40
  4. Step 4: Simplify right side
    10,291.40x = 118,105,825.14
  5. Step 5: Solve for x
    x = 118,105,825.14/10,291.40
  6. Step 6: Final answer
    x = 11,476.17

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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.