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Finding the Fourth Proportional to 19,230.40, 26,538 and 10,847.20

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Solution

The fourth proportional to 19,230.40, 26,538 and 10,847.20 is: 14,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,230.40 : 26,538 = 10,847.20 : x
  2. Step 2: Convert to fraction form
    19,230.40/26,538 = 10,847.20/x
  3. Step 3: Cross multiply
    19,230.40x = 26,538 × 10,847.20
  4. Step 4: Simplify right side
    19,230.40x = 287,862,993.60
  5. Step 5: Solve for x
    x = 287,862,993.60/19,230.40
  6. Step 6: Final answer
    x = 14,969.16

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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.