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Finding the Fourth Proportional to 15,113.20, 20,848 and 9,652.08

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Solution

The fourth proportional to 15,113.20, 20,848 and 9,652.08 is: 13,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,113.20 : 20,848 = 9,652.08 : x
  2. Step 2: Convert to fraction form
    15,113.20/20,848 = 9,652.08/x
  3. Step 3: Cross multiply
    15,113.20x = 20,848 × 9,652.08
  4. Step 4: Simplify right side
    15,113.20x = 201,226,563.84
  5. Step 5: Solve for x
    x = 201,226,563.84/15,113.20
  6. Step 6: Final answer
    x = 13,314.62

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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.