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Finding the Fourth Proportional to 1,603.76, 2,405.64 and 1,312.16

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Solution

The fourth proportional to 1,603.76, 2,405.64 and 1,312.16 is: 1,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.76 : 2,405.64 = 1,312.16 : x
  2. Step 2: Convert to fraction form
    1,603.76/2,405.64 = 1,312.16/x
  3. Step 3: Cross multiply
    1,603.76x = 2,405.64 × 1,312.16
  4. Step 4: Simplify right side
    1,603.76x = 3,156,584.58
  5. Step 5: Solve for x
    x = 3,156,584.58/1,603.76
  6. Step 6: Final answer
    x = 1,968.24

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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.