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Finding the Fourth Proportional to 2,688.16, 4,030 and 2,340.64

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Solution

The fourth proportional to 2,688.16, 4,030 and 2,340.64 is: 3,509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.16 : 4,030 = 2,340.64 : x
  2. Step 2: Convert to fraction form
    2,688.16/4,030 = 2,340.64/x
  3. Step 3: Cross multiply
    2,688.16x = 4,030 × 2,340.64
  4. Step 4: Simplify right side
    2,688.16x = 9,432,779.20
  5. Step 5: Solve for x
    x = 9,432,779.20/2,688.16
  6. Step 6: Final answer
    x = 3,509.01

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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.