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Finding the Fourth Proportional to 15,461, 21,326.74 and 9,169.16

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Solution

The fourth proportional to 15,461, 21,326.74 and 9,169.16 is: 12,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,461 : 21,326.74 = 9,169.16 : x
  2. Step 2: Convert to fraction form
    15,461/21,326.74 = 9,169.16/x
  3. Step 3: Cross multiply
    15,461x = 21,326.74 × 9,169.16
  4. Step 4: Simplify right side
    15,461x = 195,548,291.34
  5. Step 5: Solve for x
    x = 195,548,291.34/15,461
  6. Step 6: Final answer
    x = 12,647.84

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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.