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Finding the Fourth Proportional to 1,510.32, 2,078.16 and 1,472.16

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Solution

The fourth proportional to 1,510.32, 2,078.16 and 1,472.16 is: 2,025.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.32 : 2,078.16 = 1,472.16 : x
  2. Step 2: Convert to fraction form
    1,510.32/2,078.16 = 1,472.16/x
  3. Step 3: Cross multiply
    1,510.32x = 2,078.16 × 1,472.16
  4. Step 4: Simplify right side
    1,510.32x = 3,059,384.03
  5. Step 5: Solve for x
    x = 3,059,384.03/1,510.32
  6. Step 6: Final answer
    x = 2,025.65

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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.