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Finding the Fourth Proportional to 12,497.48, 17,200.50 and 10,709

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Solution

The fourth proportional to 12,497.48, 17,200.50 and 10,709 is: 14,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.48 : 17,200.50 = 10,709 : x
  2. Step 2: Convert to fraction form
    12,497.48/17,200.50 = 10,709/x
  3. Step 3: Cross multiply
    12,497.48x = 17,200.50 × 10,709
  4. Step 4: Simplify right side
    12,497.48x = 184,200,154.50
  5. Step 5: Solve for x
    x = 184,200,154.50/12,497.48
  6. Step 6: Final answer
    x = 14,738.98

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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.