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Finding the Fourth Proportional to 12,652.65, 17,460.21 and 6,987.30

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Solution

The fourth proportional to 12,652.65, 17,460.21 and 6,987.30 is: 9,642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.65 : 17,460.21 = 6,987.30 : x
  2. Step 2: Convert to fraction form
    12,652.65/17,460.21 = 6,987.30/x
  3. Step 3: Cross multiply
    12,652.65x = 17,460.21 × 6,987.30
  4. Step 4: Simplify right side
    12,652.65x = 121,999,725.33
  5. Step 5: Solve for x
    x = 121,999,725.33/12,652.65
  6. Step 6: Final answer
    x = 9,642.23

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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.