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Finding the Fourth Proportional to 10,430.64, 15,660.52 and 9,954.32

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Solution

The fourth proportional to 10,430.64, 15,660.52 and 9,954.32 is: 14,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.64 : 15,660.52 = 9,954.32 : x
  2. Step 2: Convert to fraction form
    10,430.64/15,660.52 = 9,954.32/x
  3. Step 3: Cross multiply
    10,430.64x = 15,660.52 × 9,954.32
  4. Step 4: Simplify right side
    10,430.64x = 155,889,827.45
  5. Step 5: Solve for x
    x = 155,889,827.45/10,430.64
  6. Step 6: Final answer
    x = 14,945.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.