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Finding the Fourth Proportional to 13,587.80, 18,752.06 and 7,619.86

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Solution

The fourth proportional to 13,587.80, 18,752.06 and 7,619.86 is: 10,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,587.80 : 18,752.06 = 7,619.86 : x
  2. Step 2: Convert to fraction form
    13,587.80/18,752.06 = 7,619.86/x
  3. Step 3: Cross multiply
    13,587.80x = 18,752.06 × 7,619.86
  4. Step 4: Simplify right side
    13,587.80x = 142,888,071.91
  5. Step 5: Solve for x
    x = 142,888,071.91/13,587.80
  6. Step 6: Final answer
    x = 10,515.91

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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.