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Finding the Fourth Proportional to 7,880.68, 10,866.45 and 7,699.24

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Solution

The fourth proportional to 7,880.68, 10,866.45 and 7,699.24 is: 10,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.68 : 10,866.45 = 7,699.24 : x
  2. Step 2: Convert to fraction form
    7,880.68/10,866.45 = 7,699.24/x
  3. Step 3: Cross multiply
    7,880.68x = 10,866.45 × 7,699.24
  4. Step 4: Simplify right side
    7,880.68x = 83,663,406.50
  5. Step 5: Solve for x
    x = 83,663,406.50/7,880.68
  6. Step 6: Final answer
    x = 10,616.27

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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.