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Finding the Fourth Proportional to 13,007.68, 17,946.12 and 7,341.70

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Solution

The fourth proportional to 13,007.68, 17,946.12 and 7,341.70 is: 10,129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.68 : 17,946.12 = 7,341.70 : x
  2. Step 2: Convert to fraction form
    13,007.68/17,946.12 = 7,341.70/x
  3. Step 3: Cross multiply
    13,007.68x = 17,946.12 × 7,341.70
  4. Step 4: Simplify right side
    13,007.68x = 131,755,029.20
  5. Step 5: Solve for x
    x = 131,755,029.20/13,007.68
  6. Step 6: Final answer
    x = 10,129.02

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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.