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Finding the Fourth Proportional to 9,215.88, 12,720.64 and 7,970.32

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Solution

The fourth proportional to 9,215.88, 12,720.64 and 7,970.32 is: 11,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.88 : 12,720.64 = 7,970.32 : x
  2. Step 2: Convert to fraction form
    9,215.88/12,720.64 = 7,970.32/x
  3. Step 3: Cross multiply
    9,215.88x = 12,720.64 × 7,970.32
  4. Step 4: Simplify right side
    9,215.88x = 101,387,571.40
  5. Step 5: Solve for x
    x = 101,387,571.40/9,215.88
  6. Step 6: Final answer
    x = 11,001.40

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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.