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Finding the Fourth Proportional to 10,457.59, 15,691.76 and 6,950.00

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Solution

The fourth proportional to 10,457.59, 15,691.76 and 6,950.00 is: 10,428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.59 : 15,691.76 = 6,950.00 : x
  2. Step 2: Convert to fraction form
    10,457.59/15,691.76 = 6,950.00/x
  3. Step 3: Cross multiply
    10,457.59x = 15,691.76 × 6,950.00
  4. Step 4: Simplify right side
    10,457.59x = 109,057,762.54
  5. Step 5: Solve for x
    x = 109,057,762.54/10,457.59
  6. Step 6: Final answer
    x = 10,428.58

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Why These Related Problems?

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