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Finding the Fourth Proportional to 13,004.58, 17,946.48 and 7,898.64

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Solution

The fourth proportional to 13,004.58, 17,946.48 and 7,898.64 is: 10,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.58 : 17,946.48 = 7,898.64 : x
  2. Step 2: Convert to fraction form
    13,004.58/17,946.48 = 7,898.64/x
  3. Step 3: Cross multiply
    13,004.58x = 17,946.48 × 7,898.64
  4. Step 4: Simplify right side
    13,004.58x = 141,752,784.79
  5. Step 5: Solve for x
    x = 141,752,784.79/13,004.58
  6. Step 6: Final answer
    x = 10,900.22

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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.