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Finding the Fourth Proportional to 10,475.70, 15,715.86 and 3,457.88

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Solution

The fourth proportional to 10,475.70, 15,715.86 and 3,457.88 is: 5,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.70 : 15,715.86 = 3,457.88 : x
  2. Step 2: Convert to fraction form
    10,475.70/15,715.86 = 3,457.88/x
  3. Step 3: Cross multiply
    10,475.70x = 15,715.86 × 3,457.88
  4. Step 4: Simplify right side
    10,475.70x = 54,343,557.98
  5. Step 5: Solve for x
    x = 54,343,557.98/10,475.70
  6. Step 6: Final answer
    x = 5,187.58

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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.