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Finding the Fourth Proportional to 21,527.40, 32,280.30 and 9,827.40

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Solution

The fourth proportional to 21,527.40, 32,280.30 and 9,827.40 is: 14,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527.40 : 32,280.30 = 9,827.40 : x
  2. Step 2: Convert to fraction form
    21,527.40/32,280.30 = 9,827.40/x
  3. Step 3: Cross multiply
    21,527.40x = 32,280.30 × 9,827.40
  4. Step 4: Simplify right side
    21,527.40x = 317,231,420.22
  5. Step 5: Solve for x
    x = 317,231,420.22/21,527.40
  6. Step 6: Final answer
    x = 14,736.17

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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.