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Finding the Fourth Proportional to 9,705.78, 14,560.38 and 6,421.56

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Solution

The fourth proportional to 9,705.78, 14,560.38 and 6,421.56 is: 9,633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.78 : 14,560.38 = 6,421.56 : x
  2. Step 2: Convert to fraction form
    9,705.78/14,560.38 = 6,421.56/x
  3. Step 3: Cross multiply
    9,705.78x = 14,560.38 × 6,421.56
  4. Step 4: Simplify right side
    9,705.78x = 93,500,353.79
  5. Step 5: Solve for x
    x = 93,500,353.79/9,705.78
  6. Step 6: Final answer
    x = 9,633.47

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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.