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Finding the Fourth Proportional to 12,643.66, 17,448.21 and 6,978.40

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Solution

The fourth proportional to 12,643.66, 17,448.21 and 6,978.40 is: 9,630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.66 : 17,448.21 = 6,978.40 : x
  2. Step 2: Convert to fraction form
    12,643.66/17,448.21 = 6,978.40/x
  3. Step 3: Cross multiply
    12,643.66x = 17,448.21 × 6,978.40
  4. Step 4: Simplify right side
    12,643.66x = 121,760,501.42
  5. Step 5: Solve for x
    x = 121,760,501.42/12,643.66
  6. Step 6: Final answer
    x = 9,630.17

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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.