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Finding the Fourth Proportional to 3,140.78, 4,710.62 and 948.98

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Solution

The fourth proportional to 3,140.78, 4,710.62 and 948.98 is: 1,423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.78 : 4,710.62 = 948.98 : x
  2. Step 2: Convert to fraction form
    3,140.78/4,710.62 = 948.98/x
  3. Step 3: Cross multiply
    3,140.78x = 4,710.62 × 948.98
  4. Step 4: Simplify right side
    3,140.78x = 4,470,298.32
  5. Step 5: Solve for x
    x = 4,470,298.32/3,140.78
  6. Step 6: Final answer
    x = 1,423.31

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1.5x scale

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.