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Finding the Fourth Proportional to 10,613.55, 14,648.73 and 7,028.55

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Solution

The fourth proportional to 10,613.55, 14,648.73 and 7,028.55 is: 9,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.55 : 14,648.73 = 7,028.55 : x
  2. Step 2: Convert to fraction form
    10,613.55/14,648.73 = 7,028.55/x
  3. Step 3: Cross multiply
    10,613.55x = 14,648.73 × 7,028.55
  4. Step 4: Simplify right side
    10,613.55x = 102,959,331.24
  5. Step 5: Solve for x
    x = 102,959,331.24/10,613.55
  6. Step 6: Final answer
    x = 9,700.74

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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.