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Finding the Fourth Proportional to 9,813, 13,541.88 and 5,564.88

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Solution

The fourth proportional to 9,813, 13,541.88 and 5,564.88 is: 7,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813 : 13,541.88 = 5,564.88 : x
  2. Step 2: Convert to fraction form
    9,813/13,541.88 = 5,564.88/x
  3. Step 3: Cross multiply
    9,813x = 13,541.88 × 5,564.88
  4. Step 4: Simplify right side
    9,813x = 75,358,937.17
  5. Step 5: Solve for x
    x = 75,358,937.17/9,813
  6. Step 6: Final answer
    x = 7,679.50

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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.