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Finding the Fourth Proportional to 14,689.25, 20,271.17 and 8,065.25

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Solution

The fourth proportional to 14,689.25, 20,271.17 and 8,065.25 is: 11,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.25 : 20,271.17 = 8,065.25 : x
  2. Step 2: Convert to fraction form
    14,689.25/20,271.17 = 8,065.25/x
  3. Step 3: Cross multiply
    14,689.25x = 20,271.17 × 8,065.25
  4. Step 4: Simplify right side
    14,689.25x = 163,492,013.52
  5. Step 5: Solve for x
    x = 163,492,013.52/14,689.25
  6. Step 6: Final answer
    x = 11,130.05

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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.