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Finding the Fourth Proportional to 7,009.20, 9,674.68 and 4,913.84

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Solution

The fourth proportional to 7,009.20, 9,674.68 and 4,913.84 is: 6,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.20 : 9,674.68 = 4,913.84 : x
  2. Step 2: Convert to fraction form
    7,009.20/9,674.68 = 4,913.84/x
  3. Step 3: Cross multiply
    7,009.20x = 9,674.68 × 4,913.84
  4. Step 4: Simplify right side
    7,009.20x = 47,539,829.57
  5. Step 5: Solve for x
    x = 47,539,829.57/7,009.20
  6. Step 6: Final answer
    x = 6,782.49

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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.