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Finding the Fourth Proportional to 11,460.68, 15,819.54 and 6,987.32

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Solution

The fourth proportional to 11,460.68, 15,819.54 and 6,987.32 is: 9,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.68 : 15,819.54 = 6,987.32 : x
  2. Step 2: Convert to fraction form
    11,460.68/15,819.54 = 6,987.32/x
  3. Step 3: Cross multiply
    11,460.68x = 15,819.54 × 6,987.32
  4. Step 4: Simplify right side
    11,460.68x = 110,536,188.23
  5. Step 5: Solve for x
    x = 110,536,188.23/11,460.68
  6. Step 6: Final answer
    x = 9,644.82

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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.