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Finding the Fourth Proportional to 9,420.30, 12,970.44 and 8,001

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Solution

The fourth proportional to 9,420.30, 12,970.44 and 8,001 is: 11,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.30 : 12,970.44 = 8,001 : x
  2. Step 2: Convert to fraction form
    9,420.30/12,970.44 = 8,001/x
  3. Step 3: Cross multiply
    9,420.30x = 12,970.44 × 8,001
  4. Step 4: Simplify right side
    9,420.30x = 103,776,490.44
  5. Step 5: Solve for x
    x = 103,776,490.44/9,420.30
  6. Step 6: Final answer
    x = 11,016.26

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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.