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Finding the Fourth Proportional to 13,943.54, 20,915.36 and 9,802.08

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Solution

The fourth proportional to 13,943.54, 20,915.36 and 9,802.08 is: 14,703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,943.54 : 20,915.36 = 9,802.08 : x
  2. Step 2: Convert to fraction form
    13,943.54/20,915.36 = 9,802.08/x
  3. Step 3: Cross multiply
    13,943.54x = 20,915.36 × 9,802.08
  4. Step 4: Simplify right side
    13,943.54x = 205,014,031.95
  5. Step 5: Solve for x
    x = 205,014,031.95/13,943.54
  6. Step 6: Final answer
    x = 14,703.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.