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Finding the Fourth Proportional to 6,969.63, 10,455.05 and 1,775.50

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Solution

The fourth proportional to 6,969.63, 10,455.05 and 1,775.50 is: 2,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.63 : 10,455.05 = 1,775.50 : x
  2. Step 2: Convert to fraction form
    6,969.63/10,455.05 = 1,775.50/x
  3. Step 3: Cross multiply
    6,969.63x = 10,455.05 × 1,775.50
  4. Step 4: Simplify right side
    6,969.63x = 18,562,941.28
  5. Step 5: Solve for x
    x = 18,562,941.28/6,969.63
  6. Step 6: Final answer
    x = 2,663.40

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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.