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Finding the Fourth Proportional to 11,585.52, 15,977.07 and 7,809.30

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Solution

The fourth proportional to 11,585.52, 15,977.07 and 7,809.30 is: 10,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.52 : 15,977.07 = 7,809.30 : x
  2. Step 2: Convert to fraction form
    11,585.52/15,977.07 = 7,809.30/x
  3. Step 3: Cross multiply
    11,585.52x = 15,977.07 × 7,809.30
  4. Step 4: Simplify right side
    11,585.52x = 124,769,732.75
  5. Step 5: Solve for x
    x = 124,769,732.75/11,585.52
  6. Step 6: Final answer
    x = 10,769.45

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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.