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Finding the Fourth Proportional to 11,464.61, 15,821.93 and 6,429.16

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Solution

The fourth proportional to 11,464.61, 15,821.93 and 6,429.16 is: 8,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.61 : 15,821.93 = 6,429.16 : x
  2. Step 2: Convert to fraction form
    11,464.61/15,821.93 = 6,429.16/x
  3. Step 3: Cross multiply
    11,464.61x = 15,821.93 × 6,429.16
  4. Step 4: Simplify right side
    11,464.61x = 101,721,647.78
  5. Step 5: Solve for x
    x = 101,721,647.78/11,464.61
  6. Step 6: Final answer
    x = 8,872.66

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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.