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Finding the Fourth Proportional to 13,007.64, 17,950.48 and 7,039.30

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Solution

The fourth proportional to 13,007.64, 17,950.48 and 7,039.30 is: 9,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.64 : 17,950.48 = 7,039.30 : x
  2. Step 2: Convert to fraction form
    13,007.64/17,950.48 = 7,039.30/x
  3. Step 3: Cross multiply
    13,007.64x = 17,950.48 × 7,039.30
  4. Step 4: Simplify right side
    13,007.64x = 126,358,813.86
  5. Step 5: Solve for x
    x = 126,358,813.86/13,007.64
  6. Step 6: Final answer
    x = 9,714.20

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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.