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Finding the Fourth Proportional to 9,898.64, 13,660 and 5,422.13

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Solution

The fourth proportional to 9,898.64, 13,660 and 5,422.13 is: 7,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.64 : 13,660 = 5,422.13 : x
  2. Step 2: Convert to fraction form
    9,898.64/13,660 = 5,422.13/x
  3. Step 3: Cross multiply
    9,898.64x = 13,660 × 5,422.13
  4. Step 4: Simplify right side
    9,898.64x = 74,066,295.80
  5. Step 5: Solve for x
    x = 74,066,295.80/9,898.64
  6. Step 6: Final answer
    x = 7,482.47

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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.