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Finding the Fourth Proportional to 8,509.95, 11,746.17 and 5,681.43

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Solution

The fourth proportional to 8,509.95, 11,746.17 and 5,681.43 is: 7,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.95 : 11,746.17 = 5,681.43 : x
  2. Step 2: Convert to fraction form
    8,509.95/11,746.17 = 5,681.43/x
  3. Step 3: Cross multiply
    8,509.95x = 11,746.17 × 5,681.43
  4. Step 4: Simplify right side
    8,509.95x = 66,735,042.62
  5. Step 5: Solve for x
    x = 66,735,042.62/8,509.95
  6. Step 6: Final answer
    x = 7,842.00

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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.