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Finding the Fourth Proportional to 7,157.43, 9,877.14 and 3,970.89

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Solution

The fourth proportional to 7,157.43, 9,877.14 and 3,970.89 is: 5,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.43 : 9,877.14 = 3,970.89 : x
  2. Step 2: Convert to fraction form
    7,157.43/9,877.14 = 3,970.89/x
  3. Step 3: Cross multiply
    7,157.43x = 9,877.14 × 3,970.89
  4. Step 4: Simplify right side
    7,157.43x = 39,221,036.45
  5. Step 5: Solve for x
    x = 39,221,036.45/7,157.43
  6. Step 6: Final answer
    x = 5,479.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.