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Finding the Fourth Proportional to 7,980.25, 11,007.14 and 6,916.13

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Solution

The fourth proportional to 7,980.25, 11,007.14 and 6,916.13 is: 9,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.25 : 11,007.14 = 6,916.13 : x
  2. Step 2: Convert to fraction form
    7,980.25/11,007.14 = 6,916.13/x
  3. Step 3: Cross multiply
    7,980.25x = 11,007.14 × 6,916.13
  4. Step 4: Simplify right side
    7,980.25x = 76,126,804.11
  5. Step 5: Solve for x
    x = 76,126,804.11/7,980.25
  6. Step 6: Final answer
    x = 9,539.40

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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.