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Finding the Fourth Proportional to 22,017.60, 32,977.80 and 13,237.20

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Solution

The fourth proportional to 22,017.60, 32,977.80 and 13,237.20 is: 19,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,017.60 : 32,977.80 = 13,237.20 : x
  2. Step 2: Convert to fraction form
    22,017.60/32,977.80 = 13,237.20/x
  3. Step 3: Cross multiply
    22,017.60x = 32,977.80 × 13,237.20
  4. Step 4: Simplify right side
    22,017.60x = 436,533,734.16
  5. Step 5: Solve for x
    x = 436,533,734.16/22,017.60
  6. Step 6: Final answer
    x = 19,826.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.