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Finding the Fourth Proportional to 9,561.73, 13,195 and 5,312.77

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Solution

The fourth proportional to 9,561.73, 13,195 and 5,312.77 is: 7,331.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.73 : 13,195 = 5,312.77 : x
  2. Step 2: Convert to fraction form
    9,561.73/13,195 = 5,312.77/x
  3. Step 3: Cross multiply
    9,561.73x = 13,195 × 5,312.77
  4. Step 4: Simplify right side
    9,561.73x = 70,102,000.15
  5. Step 5: Solve for x
    x = 70,102,000.15/9,561.73
  6. Step 6: Final answer
    x = 7,331.52

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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.