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Finding the Fourth Proportional to 10,630.76, 14,662.18 and 9,437

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Solution

The fourth proportional to 10,630.76, 14,662.18 and 9,437 is: 13,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.76 : 14,662.18 = 9,437 : x
  2. Step 2: Convert to fraction form
    10,630.76/14,662.18 = 9,437/x
  3. Step 3: Cross multiply
    10,630.76x = 14,662.18 × 9,437
  4. Step 4: Simplify right side
    10,630.76x = 138,366,992.66
  5. Step 5: Solve for x
    x = 138,366,992.66/10,630.76
  6. Step 6: Final answer
    x = 13,015.72

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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.