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Finding the Fourth Proportional to 19,549.90, 26,978.22 and 11,587.40

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Solution

The fourth proportional to 19,549.90, 26,978.22 and 11,587.40 is: 15,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549.90 : 26,978.22 = 11,587.40 : x
  2. Step 2: Convert to fraction form
    19,549.90/26,978.22 = 11,587.40/x
  3. Step 3: Cross multiply
    19,549.90x = 26,978.22 × 11,587.40
  4. Step 4: Simplify right side
    19,549.90x = 312,607,426.43
  5. Step 5: Solve for x
    x = 312,607,426.43/19,549.90
  6. Step 6: Final answer
    x = 15,990.23

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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.