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Finding the Fourth Proportional to 30,172.29, 45,253.50 and 7,987.06

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Solution

The fourth proportional to 30,172.29, 45,253.50 and 7,987.06 is: 11,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,172.29 : 45,253.50 = 7,987.06 : x
  2. Step 2: Convert to fraction form
    30,172.29/45,253.50 = 7,987.06/x
  3. Step 3: Cross multiply
    30,172.29x = 45,253.50 × 7,987.06
  4. Step 4: Simplify right side
    30,172.29x = 361,442,419.71
  5. Step 5: Solve for x
    x = 361,442,419.71/30,172.29
  6. Step 6: Final answer
    x = 11,979.28

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1.5x scale

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.