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Finding the Fourth Proportional to 8,430.54, 11,631.82 and 5,072.88

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Solution

The fourth proportional to 8,430.54, 11,631.82 and 5,072.88 is: 6,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.54 : 11,631.82 = 5,072.88 : x
  2. Step 2: Convert to fraction form
    8,430.54/11,631.82 = 5,072.88/x
  3. Step 3: Cross multiply
    8,430.54x = 11,631.82 × 5,072.88
  4. Step 4: Simplify right side
    8,430.54x = 59,006,827.04
  5. Step 5: Solve for x
    x = 59,006,827.04/8,430.54
  6. Step 6: Final answer
    x = 6,999.18

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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.