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Finding the Fourth Proportional to 7,041.60, 9,721.92 and 4,392.64

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Solution

The fourth proportional to 7,041.60, 9,721.92 and 4,392.64 is: 6,064.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.60 : 9,721.92 = 4,392.64 : x
  2. Step 2: Convert to fraction form
    7,041.60/9,721.92 = 4,392.64/x
  3. Step 3: Cross multiply
    7,041.60x = 9,721.92 × 4,392.64
  4. Step 4: Simplify right side
    7,041.60x = 42,704,894.67
  5. Step 5: Solve for x
    x = 42,704,894.67/7,041.60
  6. Step 6: Final answer
    x = 6,064.66

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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.