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Finding the Fourth Proportional to 10,478.64, 14,460 and 5,762.16

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Solution

The fourth proportional to 10,478.64, 14,460 and 5,762.16 is: 7,951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.64 : 14,460 = 5,762.16 : x
  2. Step 2: Convert to fraction form
    10,478.64/14,460 = 5,762.16/x
  3. Step 3: Cross multiply
    10,478.64x = 14,460 × 5,762.16
  4. Step 4: Simplify right side
    10,478.64x = 83,320,833.60
  5. Step 5: Solve for x
    x = 83,320,833.60/10,478.64
  6. Step 6: Final answer
    x = 7,951.49

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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.