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Finding the Fourth Proportional to 15,189.30, 20,970.99 and 9,531.81

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Solution

The fourth proportional to 15,189.30, 20,970.99 and 9,531.81 is: 13,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,189.30 : 20,970.99 = 9,531.81 : x
  2. Step 2: Convert to fraction form
    15,189.30/20,970.99 = 9,531.81/x
  3. Step 3: Cross multiply
    15,189.30x = 20,970.99 × 9,531.81
  4. Step 4: Simplify right side
    15,189.30x = 199,891,492.19
  5. Step 5: Solve for x
    x = 199,891,492.19/15,189.30
  6. Step 6: Final answer
    x = 13,160.02

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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.