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Finding the Fourth Proportional to 10,781.84, 14,880.84 and 10,289.36

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Solution

The fourth proportional to 10,781.84, 14,880.84 and 10,289.36 is: 14,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.84 : 14,880.84 = 10,289.36 : x
  2. Step 2: Convert to fraction form
    10,781.84/14,880.84 = 10,289.36/x
  3. Step 3: Cross multiply
    10,781.84x = 14,880.84 × 10,289.36
  4. Step 4: Simplify right side
    10,781.84x = 153,114,319.86
  5. Step 5: Solve for x
    x = 153,114,319.86/10,781.84
  6. Step 6: Final answer
    x = 14,201.13

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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.