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Finding the Fourth Proportional to 10,618.16, 14,655.53 and 7,789.64

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Solution

The fourth proportional to 10,618.16, 14,655.53 and 7,789.64 is: 10,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.16 : 14,655.53 = 7,789.64 : x
  2. Step 2: Convert to fraction form
    10,618.16/14,655.53 = 7,789.64/x
  3. Step 3: Cross multiply
    10,618.16x = 14,655.53 × 7,789.64
  4. Step 4: Simplify right side
    10,618.16x = 114,161,248.91
  5. Step 5: Solve for x
    x = 114,161,248.91/10,618.16
  6. Step 6: Final answer
    x = 10,751.51

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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.