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Finding the Fourth Proportional to 15,137.30, 20,889.14 and 8,764.16

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Solution

The fourth proportional to 15,137.30, 20,889.14 and 8,764.16 is: 12,094.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.30 : 20,889.14 = 8,764.16 : x
  2. Step 2: Convert to fraction form
    15,137.30/20,889.14 = 8,764.16/x
  3. Step 3: Cross multiply
    15,137.30x = 20,889.14 × 8,764.16
  4. Step 4: Simplify right side
    15,137.30x = 183,075,765.22
  5. Step 5: Solve for x
    x = 183,075,765.22/15,137.30
  6. Step 6: Final answer
    x = 12,094.35

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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.