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Finding the Fourth Proportional to 10,392.86, 14,332.64 and 8,124.50

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Solution

The fourth proportional to 10,392.86, 14,332.64 and 8,124.50 is: 11,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.86 : 14,332.64 = 8,124.50 : x
  2. Step 2: Convert to fraction form
    10,392.86/14,332.64 = 8,124.50/x
  3. Step 3: Cross multiply
    10,392.86x = 14,332.64 × 8,124.50
  4. Step 4: Simplify right side
    10,392.86x = 116,445,533.68
  5. Step 5: Solve for x
    x = 116,445,533.68/10,392.86
  6. Step 6: Final answer
    x = 11,204.38

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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.