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Finding the Fourth Proportional to 3,139.58, 4,710.05 and 948.53

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Solution

The fourth proportional to 3,139.58, 4,710.05 and 948.53 is: 1,423.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.58 : 4,710.05 = 948.53 : x
  2. Step 2: Convert to fraction form
    3,139.58/4,710.05 = 948.53/x
  3. Step 3: Cross multiply
    3,139.58x = 4,710.05 × 948.53
  4. Step 4: Simplify right side
    3,139.58x = 4,467,623.73
  5. Step 5: Solve for x
    x = 4,467,623.73/3,139.58
  6. Step 6: Final answer
    x = 1,423.00

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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.