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Finding the Fourth Proportional to 9,771.60, 13,488.84 and 6,980.88

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Solution

The fourth proportional to 9,771.60, 13,488.84 and 6,980.88 is: 9,636.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.60 : 13,488.84 = 6,980.88 : x
  2. Step 2: Convert to fraction form
    9,771.60/13,488.84 = 6,980.88/x
  3. Step 3: Cross multiply
    9,771.60x = 13,488.84 × 6,980.88
  4. Step 4: Simplify right side
    9,771.60x = 94,163,973.38
  5. Step 5: Solve for x
    x = 94,163,973.38/9,771.60
  6. Step 6: Final answer
    x = 9,636.49

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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.