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Finding the Fourth Proportional to 13,007.00, 17,957.40 and 8,538.57

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Solution

The fourth proportional to 13,007.00, 17,957.40 and 8,538.57 is: 11,788.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.00 : 17,957.40 = 8,538.57 : x
  2. Step 2: Convert to fraction form
    13,007.00/17,957.40 = 8,538.57/x
  3. Step 3: Cross multiply
    13,007.00x = 17,957.40 × 8,538.57
  4. Step 4: Simplify right side
    13,007.00x = 153,330,484.90
  5. Step 5: Solve for x
    x = 153,330,484.90/13,007.00
  6. Step 6: Final answer
    x = 11,788.30

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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.