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Finding the Fourth Proportional to 10,518, 15,762.84 and 5,582.40

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Solution

The fourth proportional to 10,518, 15,762.84 and 5,582.40 is: 8,366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518 : 15,762.84 = 5,582.40 : x
  2. Step 2: Convert to fraction form
    10,518/15,762.84 = 5,582.40/x
  3. Step 3: Cross multiply
    10,518x = 15,762.84 × 5,582.40
  4. Step 4: Simplify right side
    10,518x = 87,994,478.02
  5. Step 5: Solve for x
    x = 87,994,478.02/10,518
  6. Step 6: Final answer
    x = 8,366.08

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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.