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Finding the Fourth Proportional to 30,763.56, 46,145.28 and 9,987

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Solution

The fourth proportional to 30,763.56, 46,145.28 and 9,987 is: 14,980.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,763.56 : 46,145.28 = 9,987 : x
  2. Step 2: Convert to fraction form
    30,763.56/46,145.28 = 9,987/x
  3. Step 3: Cross multiply
    30,763.56x = 46,145.28 × 9,987
  4. Step 4: Simplify right side
    30,763.56x = 460,852,911.36
  5. Step 5: Solve for x
    x = 460,852,911.36/30,763.56
  6. Step 6: Final answer
    x = 14,980.48

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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.