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Finding the Fourth Proportional to 3,140.04, 4,710.50 and 948.52

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Solution

The fourth proportional to 3,140.04, 4,710.50 and 948.52 is: 1,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.04 : 4,710.50 = 948.52 : x
  2. Step 2: Convert to fraction form
    3,140.04/4,710.50 = 948.52/x
  3. Step 3: Cross multiply
    3,140.04x = 4,710.50 × 948.52
  4. Step 4: Simplify right side
    3,140.04x = 4,468,003.46
  5. Step 5: Solve for x
    x = 4,468,003.46/3,140.04
  6. Step 6: Final answer
    x = 1,422.91

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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.