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Finding the Fourth Proportional to 11,864.16, 16,374.17 and 6,828.28

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Solution

The fourth proportional to 11,864.16, 16,374.17 and 6,828.28 is: 9,423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.16 : 16,374.17 = 6,828.28 : x
  2. Step 2: Convert to fraction form
    11,864.16/16,374.17 = 6,828.28/x
  3. Step 3: Cross multiply
    11,864.16x = 16,374.17 × 6,828.28
  4. Step 4: Simplify right side
    11,864.16x = 111,807,417.53
  5. Step 5: Solve for x
    x = 111,807,417.53/11,864.16
  6. Step 6: Final answer
    x = 9,423.96

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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.