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Finding the Fourth Proportional to 2,520, 3,477.60 and 1,416

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Solution

The fourth proportional to 2,520, 3,477.60 and 1,416 is: 1,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520 : 3,477.60 = 1,416 : x
  2. Step 2: Convert to fraction form
    2,520/3,477.60 = 1,416/x
  3. Step 3: Cross multiply
    2,520x = 3,477.60 × 1,416
  4. Step 4: Simplify right side
    2,520x = 4,924,281.60
  5. Step 5: Solve for x
    x = 4,924,281.60/2,520
  6. Step 6: Final answer
    x = 1,954.08

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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.