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Finding the Fourth Proportional to 11,864.29, 16,376.13 and 7,834.06

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Solution

The fourth proportional to 11,864.29, 16,376.13 and 7,834.06 is: 10,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.29 : 16,376.13 = 7,834.06 : x
  2. Step 2: Convert to fraction form
    11,864.29/16,376.13 = 7,834.06/x
  3. Step 3: Cross multiply
    11,864.29x = 16,376.13 × 7,834.06
  4. Step 4: Simplify right side
    11,864.29x = 128,291,503.11
  5. Step 5: Solve for x
    x = 128,291,503.11/11,864.29
  6. Step 6: Final answer
    x = 10,813.25

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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.