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Finding the Fourth Proportional to 7,154.86, 9,875.77 and 4,321.79

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Solution

The fourth proportional to 7,154.86, 9,875.77 and 4,321.79 is: 5,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.86 : 9,875.77 = 4,321.79 : x
  2. Step 2: Convert to fraction form
    7,154.86/9,875.77 = 4,321.79/x
  3. Step 3: Cross multiply
    7,154.86x = 9,875.77 × 4,321.79
  4. Step 4: Simplify right side
    7,154.86x = 42,681,004.03
  5. Step 5: Solve for x
    x = 42,681,004.03/7,154.86
  6. Step 6: Final answer
    x = 5,965.32

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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.