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Finding the Fourth Proportional to 3,140, 4,710 and 831.50

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Solution

The fourth proportional to 3,140, 4,710 and 831.50 is: 1,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140 : 4,710 = 831.50 : x
  2. Step 2: Convert to fraction form
    3,140/4,710 = 831.50/x
  3. Step 3: Cross multiply
    3,140x = 4,710 × 831.50
  4. Step 4: Simplify right side
    3,140x = 3,916,365
  5. Step 5: Solve for x
    x = 3,916,365/3,140
  6. Step 6: Final answer
    x = 1,247.25

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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.