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Finding the Fourth Proportional to 9,615.78, 14,425.70 and 5,457.78

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Solution

The fourth proportional to 9,615.78, 14,425.70 and 5,457.78 is: 8,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.78 : 14,425.70 = 5,457.78 : x
  2. Step 2: Convert to fraction form
    9,615.78/14,425.70 = 5,457.78/x
  3. Step 3: Cross multiply
    9,615.78x = 14,425.70 × 5,457.78
  4. Step 4: Simplify right side
    9,615.78x = 78,732,269.66
  5. Step 5: Solve for x
    x = 78,732,269.66/9,615.78
  6. Step 6: Final answer
    x = 8,187.82

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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.