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Finding the Fourth Proportional to 14,701.71, 20,288.61 and 7,987.53

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Solution

The fourth proportional to 14,701.71, 20,288.61 and 7,987.53 is: 11,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.71 : 20,288.61 = 7,987.53 : x
  2. Step 2: Convert to fraction form
    14,701.71/20,288.61 = 7,987.53/x
  3. Step 3: Cross multiply
    14,701.71x = 20,288.61 × 7,987.53
  4. Step 4: Simplify right side
    14,701.71x = 162,055,881.03
  5. Step 5: Solve for x
    x = 162,055,881.03/14,701.71
  6. Step 6: Final answer
    x = 11,022.93

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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.