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Finding the Fourth Proportional to 7,332.80, 10,119.84 and 4,190

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Solution

The fourth proportional to 7,332.80, 10,119.84 and 4,190 is: 5,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332.80 : 10,119.84 = 4,190 : x
  2. Step 2: Convert to fraction form
    7,332.80/10,119.84 = 4,190/x
  3. Step 3: Cross multiply
    7,332.80x = 10,119.84 × 4,190
  4. Step 4: Simplify right side
    7,332.80x = 42,402,129.60
  5. Step 5: Solve for x
    x = 42,402,129.60/7,332.80
  6. Step 6: Final answer
    x = 5,782.53

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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.