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Finding the Fourth Proportional to 4,970.80, 7,447.02 and 4,154.32

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Solution

The fourth proportional to 4,970.80, 7,447.02 and 4,154.32 is: 6,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.80 : 7,447.02 = 4,154.32 : x
  2. Step 2: Convert to fraction form
    4,970.80/7,447.02 = 4,154.32/x
  3. Step 3: Cross multiply
    4,970.80x = 7,447.02 × 4,154.32
  4. Step 4: Simplify right side
    4,970.80x = 30,937,304.13
  5. Step 5: Solve for x
    x = 30,937,304.13/4,970.80
  6. Step 6: Final answer
    x = 6,223.81

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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.