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Finding the Fourth Proportional to 4,743.78, 7,116.12 and 1,970.39

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Solution

The fourth proportional to 4,743.78, 7,116.12 and 1,970.39 is: 2,955.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.78 : 7,116.12 = 1,970.39 : x
  2. Step 2: Convert to fraction form
    4,743.78/7,116.12 = 1,970.39/x
  3. Step 3: Cross multiply
    4,743.78x = 7,116.12 × 1,970.39
  4. Step 4: Simplify right side
    4,743.78x = 14,021,549.48
  5. Step 5: Solve for x
    x = 14,021,549.48/4,743.78
  6. Step 6: Final answer
    x = 2,955.78

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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.