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Finding the Fourth Proportional to 10,775.83, 14,880 and 7,948.11

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Solution

The fourth proportional to 10,775.83, 14,880 and 7,948.11 is: 10,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.83 : 14,880 = 7,948.11 : x
  2. Step 2: Convert to fraction form
    10,775.83/14,880 = 7,948.11/x
  3. Step 3: Cross multiply
    10,775.83x = 14,880 × 7,948.11
  4. Step 4: Simplify right side
    10,775.83x = 118,267,876.80
  5. Step 5: Solve for x
    x = 118,267,876.80/10,775.83
  6. Step 6: Final answer
    x = 10,975.29

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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.