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Finding the Fourth Proportional to 13,000.10, 19,500.15 and 11,031.80

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Solution

The fourth proportional to 13,000.10, 19,500.15 and 11,031.80 is: 16,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.10 : 19,500.15 = 11,031.80 : x
  2. Step 2: Convert to fraction form
    13,000.10/19,500.15 = 11,031.80/x
  3. Step 3: Cross multiply
    13,000.10x = 19,500.15 × 11,031.80
  4. Step 4: Simplify right side
    13,000.10x = 215,121,754.77
  5. Step 5: Solve for x
    x = 215,121,754.77/13,000.10
  6. Step 6: Final answer
    x = 16,547.70

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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.