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Finding the Fourth Proportional to 9,768, 13,480 and 6,978.24

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Solution

The fourth proportional to 9,768, 13,480 and 6,978.24 is: 9,630.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768 : 13,480 = 6,978.24 : x
  2. Step 2: Convert to fraction form
    9,768/13,480 = 6,978.24/x
  3. Step 3: Cross multiply
    9,768x = 13,480 × 6,978.24
  4. Step 4: Simplify right side
    9,768x = 94,066,675.20
  5. Step 5: Solve for x
    x = 94,066,675.20/9,768
  6. Step 6: Final answer
    x = 9,630.09

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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.