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Finding the Fourth Proportional to 8,312.23, 11,460.50 and 5,323.15

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Solution

The fourth proportional to 8,312.23, 11,460.50 and 5,323.15 is: 7,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.23 : 11,460.50 = 5,323.15 : x
  2. Step 2: Convert to fraction form
    8,312.23/11,460.50 = 5,323.15/x
  3. Step 3: Cross multiply
    8,312.23x = 11,460.50 × 5,323.15
  4. Step 4: Simplify right side
    8,312.23x = 61,005,925.27
  5. Step 5: Solve for x
    x = 61,005,925.27/8,312.23
  6. Step 6: Final answer
    x = 7,339.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.