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Finding the Fourth Proportional to 12,316.32, 18,457.14 and 6,461.10

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Solution

The fourth proportional to 12,316.32, 18,457.14 and 6,461.10 is: 9,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.32 : 18,457.14 = 6,461.10 : x
  2. Step 2: Convert to fraction form
    12,316.32/18,457.14 = 6,461.10/x
  3. Step 3: Cross multiply
    12,316.32x = 18,457.14 × 6,461.10
  4. Step 4: Simplify right side
    12,316.32x = 119,253,427.25
  5. Step 5: Solve for x
    x = 119,253,427.25/12,316.32
  6. Step 6: Final answer
    x = 9,682.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.