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Finding the Fourth Proportional to 9,812.50, 13,541.25 and 5,621.02

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Solution

The fourth proportional to 9,812.50, 13,541.25 and 5,621.02 is: 7,757.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.50 : 13,541.25 = 5,621.02 : x
  2. Step 2: Convert to fraction form
    9,812.50/13,541.25 = 5,621.02/x
  3. Step 3: Cross multiply
    9,812.50x = 13,541.25 × 5,621.02
  4. Step 4: Simplify right side
    9,812.50x = 76,115,637.08
  5. Step 5: Solve for x
    x = 76,115,637.08/9,812.50
  6. Step 6: Final answer
    x = 7,757.01

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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.