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Finding the Fourth Proportional to 13,943.55, 20,915.35 and 9,802.06

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Solution

The fourth proportional to 13,943.55, 20,915.35 and 9,802.06 is: 14,703.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,943.55 : 20,915.35 = 9,802.06 : x
  2. Step 2: Convert to fraction form
    13,943.55/20,915.35 = 9,802.06/x
  3. Step 3: Cross multiply
    13,943.55x = 20,915.35 × 9,802.06
  4. Step 4: Simplify right side
    13,943.55x = 205,013,491.12
  5. Step 5: Solve for x
    x = 205,013,491.12/13,943.55
  6. Step 6: Final answer
    x = 14,703.11

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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.