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Finding the Fourth Proportional to 8,312, 11,471.80 and 5,331.20

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Solution

The fourth proportional to 8,312, 11,471.80 and 5,331.20 is: 7,357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312 : 11,471.80 = 5,331.20 : x
  2. Step 2: Convert to fraction form
    8,312/11,471.80 = 5,331.20/x
  3. Step 3: Cross multiply
    8,312x = 11,471.80 × 5,331.20
  4. Step 4: Simplify right side
    8,312x = 61,158,460.16
  5. Step 5: Solve for x
    x = 61,158,460.16/8,312
  6. Step 6: Final answer
    x = 7,357.85

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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.