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Finding the Fourth Proportional to 9,980, 13,783.92 and 6,830.72

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Solution

The fourth proportional to 9,980, 13,783.92 and 6,830.72 is: 9,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980 : 13,783.92 = 6,830.72 : x
  2. Step 2: Convert to fraction form
    9,980/13,783.92 = 6,830.72/x
  3. Step 3: Cross multiply
    9,980x = 13,783.92 × 6,830.72
  4. Step 4: Simplify right side
    9,980x = 94,154,098.02
  5. Step 5: Solve for x
    x = 94,154,098.02/9,980
  6. Step 6: Final answer
    x = 9,434.28

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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.