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Finding the Fourth Proportional to 9,825.80, 14,717.10 and 6,888.20

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Solution

The fourth proportional to 9,825.80, 14,717.10 and 6,888.20 is: 10,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.80 : 14,717.10 = 6,888.20 : x
  2. Step 2: Convert to fraction form
    9,825.80/14,717.10 = 6,888.20/x
  3. Step 3: Cross multiply
    9,825.80x = 14,717.10 × 6,888.20
  4. Step 4: Simplify right side
    9,825.80x = 101,374,328.22
  5. Step 5: Solve for x
    x = 101,374,328.22/9,825.80
  6. Step 6: Final answer
    x = 10,317.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.