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Finding the Fourth Proportional to 14,700.47, 20,287.04 and 7,986.51

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Solution

The fourth proportional to 14,700.47, 20,287.04 and 7,986.51 is: 11,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.47 : 20,287.04 = 7,986.51 : x
  2. Step 2: Convert to fraction form
    14,700.47/20,287.04 = 7,986.51/x
  3. Step 3: Cross multiply
    14,700.47x = 20,287.04 × 7,986.51
  4. Step 4: Simplify right side
    14,700.47x = 162,022,607.90
  5. Step 5: Solve for x
    x = 162,022,607.90/14,700.47
  6. Step 6: Final answer
    x = 11,021.60

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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.