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Finding the Fourth Proportional to 11,559.58, 15,959.09 and 7,587.65

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Solution

The fourth proportional to 11,559.58, 15,959.09 and 7,587.65 is: 10,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.58 : 15,959.09 = 7,587.65 : x
  2. Step 2: Convert to fraction form
    11,559.58/15,959.09 = 7,587.65/x
  3. Step 3: Cross multiply
    11,559.58x = 15,959.09 × 7,587.65
  4. Step 4: Simplify right side
    11,559.58x = 121,092,048.11
  5. Step 5: Solve for x
    x = 121,092,048.11/11,559.58
  6. Step 6: Final answer
    x = 10,475.47

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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.