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Finding the Fourth Proportional to 9,278.49, 12,804.84 and 5,503.89

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Solution

The fourth proportional to 9,278.49, 12,804.84 and 5,503.89 is: 7,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.49 : 12,804.84 = 5,503.89 : x
  2. Step 2: Convert to fraction form
    9,278.49/12,804.84 = 5,503.89/x
  3. Step 3: Cross multiply
    9,278.49x = 12,804.84 × 5,503.89
  4. Step 4: Simplify right side
    9,278.49x = 70,476,430.83
  5. Step 5: Solve for x
    x = 70,476,430.83/9,278.49
  6. Step 6: Final answer
    x = 7,595.68

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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.