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Finding the Fourth Proportional to 9,264.80, 13,821.40 and 7,968.80

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Solution

The fourth proportional to 9,264.80, 13,821.40 and 7,968.80 is: 11,888.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.80 : 13,821.40 = 7,968.80 : x
  2. Step 2: Convert to fraction form
    9,264.80/13,821.40 = 7,968.80/x
  3. Step 3: Cross multiply
    9,264.80x = 13,821.40 × 7,968.80
  4. Step 4: Simplify right side
    9,264.80x = 110,139,972.32
  5. Step 5: Solve for x
    x = 110,139,972.32/9,264.80
  6. Step 6: Final answer
    x = 11,888.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.