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Finding the Fourth Proportional to 6,890.74, 9,513.96 and 4,655.75

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Solution

The fourth proportional to 6,890.74, 9,513.96 and 4,655.75 is: 6,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.74 : 9,513.96 = 4,655.75 : x
  2. Step 2: Convert to fraction form
    6,890.74/9,513.96 = 4,655.75/x
  3. Step 3: Cross multiply
    6,890.74x = 9,513.96 × 4,655.75
  4. Step 4: Simplify right side
    6,890.74x = 44,294,554.24
  5. Step 5: Solve for x
    x = 44,294,554.24/6,890.74
  6. Step 6: Final answer
    x = 6,428.13

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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.