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Finding the Fourth Proportional to 9,169, 12,653.14 and 4,977.32

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Solution

The fourth proportional to 9,169, 12,653.14 and 4,977.32 is: 6,868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169 : 12,653.14 = 4,977.32 : x
  2. Step 2: Convert to fraction form
    9,169/12,653.14 = 4,977.32/x
  3. Step 3: Cross multiply
    9,169x = 12,653.14 × 4,977.32
  4. Step 4: Simplify right side
    9,169x = 62,978,726.78
  5. Step 5: Solve for x
    x = 62,978,726.78/9,169
  6. Step 6: Final answer
    x = 6,868.66

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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.