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Finding the Fourth Proportional to 10,643.90, 14,689.04 and 5,928.18

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Solution

The fourth proportional to 10,643.90, 14,689.04 and 5,928.18 is: 8,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.90 : 14,689.04 = 5,928.18 : x
  2. Step 2: Convert to fraction form
    10,643.90/14,689.04 = 5,928.18/x
  3. Step 3: Cross multiply
    10,643.90x = 14,689.04 × 5,928.18
  4. Step 4: Simplify right side
    10,643.90x = 87,079,243.51
  5. Step 5: Solve for x
    x = 87,079,243.51/10,643.90
  6. Step 6: Final answer
    x = 8,181.14

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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.