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Finding the Fourth Proportional to 10,615.76, 14,656.38 and 6,840.80

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Solution

The fourth proportional to 10,615.76, 14,656.38 and 6,840.80 is: 9,444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.76 : 14,656.38 = 6,840.80 : x
  2. Step 2: Convert to fraction form
    10,615.76/14,656.38 = 6,840.80/x
  3. Step 3: Cross multiply
    10,615.76x = 14,656.38 × 6,840.80
  4. Step 4: Simplify right side
    10,615.76x = 100,261,364.30
  5. Step 5: Solve for x
    x = 100,261,364.30/10,615.76
  6. Step 6: Final answer
    x = 9,444.58

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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.