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Finding the Fourth Proportional to 8,535.16, 12,800.23 and 2,987.47

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Solution

The fourth proportional to 8,535.16, 12,800.23 and 2,987.47 is: 4,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.16 : 12,800.23 = 2,987.47 : x
  2. Step 2: Convert to fraction form
    8,535.16/12,800.23 = 2,987.47/x
  3. Step 3: Cross multiply
    8,535.16x = 12,800.23 × 2,987.47
  4. Step 4: Simplify right side
    8,535.16x = 38,240,303.12
  5. Step 5: Solve for x
    x = 38,240,303.12/8,535.16
  6. Step 6: Final answer
    x = 4,480.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.