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Finding the Fourth Proportional to 15,812.80, 21,824.04 and 9,528.64

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Solution

The fourth proportional to 15,812.80, 21,824.04 and 9,528.64 is: 13,150.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812.80 : 21,824.04 = 9,528.64 : x
  2. Step 2: Convert to fraction form
    15,812.80/21,824.04 = 9,528.64/x
  3. Step 3: Cross multiply
    15,812.80x = 21,824.04 × 9,528.64
  4. Step 4: Simplify right side
    15,812.80x = 207,953,420.51
  5. Step 5: Solve for x
    x = 207,953,420.51/15,812.80
  6. Step 6: Final answer
    x = 13,150.95

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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.