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Finding the Fourth Proportional to 2,520, 3,477.60 and 1,472.07

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Solution

The fourth proportional to 2,520, 3,477.60 and 1,472.07 is: 2,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520 : 3,477.60 = 1,472.07 : x
  2. Step 2: Convert to fraction form
    2,520/3,477.60 = 1,472.07/x
  3. Step 3: Cross multiply
    2,520x = 3,477.60 × 1,472.07
  4. Step 4: Simplify right side
    2,520x = 5,119,270.63
  5. Step 5: Solve for x
    x = 5,119,270.63/2,520
  6. Step 6: Final answer
    x = 2,031.46

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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.