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Finding the Fourth Proportional to 10,582.40, 14,604.80 and 6,390.40

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Solution

The fourth proportional to 10,582.40, 14,604.80 and 6,390.40 is: 8,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.40 : 14,604.80 = 6,390.40 : x
  2. Step 2: Convert to fraction form
    10,582.40/14,604.80 = 6,390.40/x
  3. Step 3: Cross multiply
    10,582.40x = 14,604.80 × 6,390.40
  4. Step 4: Simplify right side
    10,582.40x = 93,330,513.92
  5. Step 5: Solve for x
    x = 93,330,513.92/10,582.40
  6. Step 6: Final answer
    x = 8,819.41

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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.