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Finding the Fourth Proportional to 10,954.63, 15,085.53 and 9,518.32

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Solution

The fourth proportional to 10,954.63, 15,085.53 and 9,518.32 is: 13,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.63 : 15,085.53 = 9,518.32 : x
  2. Step 2: Convert to fraction form
    10,954.63/15,085.53 = 9,518.32/x
  3. Step 3: Cross multiply
    10,954.63x = 15,085.53 × 9,518.32
  4. Step 4: Simplify right side
    10,954.63x = 143,588,901.91
  5. Step 5: Solve for x
    x = 143,588,901.91/10,954.63
  6. Step 6: Final answer
    x = 13,107.60

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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.