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Finding the Fourth Proportional to 10,191.06, 15,266.06 and 6,480

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Solution

The fourth proportional to 10,191.06, 15,266.06 and 6,480 is: 9,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.06 : 15,266.06 = 6,480 : x
  2. Step 2: Convert to fraction form
    10,191.06/15,266.06 = 6,480/x
  3. Step 3: Cross multiply
    10,191.06x = 15,266.06 × 6,480
  4. Step 4: Simplify right side
    10,191.06x = 98,924,068.80
  5. Step 5: Solve for x
    x = 98,924,068.80/10,191.06
  6. Step 6: Final answer
    x = 9,706.95

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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.