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Finding the Fourth Proportional to 15,153.94, 20,913.27 and 9,106.03

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Solution

The fourth proportional to 15,153.94, 20,913.27 and 9,106.03 is: 12,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,153.94 : 20,913.27 = 9,106.03 : x
  2. Step 2: Convert to fraction form
    15,153.94/20,913.27 = 9,106.03/x
  3. Step 3: Cross multiply
    15,153.94x = 20,913.27 × 9,106.03
  4. Step 4: Simplify right side
    15,153.94x = 190,436,848.41
  5. Step 5: Solve for x
    x = 190,436,848.41/15,153.94
  6. Step 6: Final answer
    x = 12,566.82

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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.