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Finding the Fourth Proportional to 9,627.80, 14,409.70 and 6,987.80

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Solution

The fourth proportional to 9,627.80, 14,409.70 and 6,987.80 is: 10,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.80 : 14,409.70 = 6,987.80 : x
  2. Step 2: Convert to fraction form
    9,627.80/14,409.70 = 6,987.80/x
  3. Step 3: Cross multiply
    9,627.80x = 14,409.70 × 6,987.80
  4. Step 4: Simplify right side
    9,627.80x = 100,692,101.66
  5. Step 5: Solve for x
    x = 100,692,101.66/9,627.80
  6. Step 6: Final answer
    x = 10,458.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.