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Finding the Fourth Proportional to 12,653.64, 17,462.12 and 6,988.23

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Solution

The fourth proportional to 12,653.64, 17,462.12 and 6,988.23 is: 9,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.64 : 17,462.12 = 6,988.23 : x
  2. Step 2: Convert to fraction form
    12,653.64/17,462.12 = 6,988.23/x
  3. Step 3: Cross multiply
    12,653.64x = 17,462.12 × 6,988.23
  4. Step 4: Simplify right side
    12,653.64x = 122,029,275.91
  5. Step 5: Solve for x
    x = 122,029,275.91/12,653.64
  6. Step 6: Final answer
    x = 9,643.81

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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.