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Finding the Fourth Proportional to 2,948, 4,068.52 and 1,689.16

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Solution

The fourth proportional to 2,948, 4,068.52 and 1,689.16 is: 2,331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948 : 4,068.52 = 1,689.16 : x
  2. Step 2: Convert to fraction form
    2,948/4,068.52 = 1,689.16/x
  3. Step 3: Cross multiply
    2,948x = 4,068.52 × 1,689.16
  4. Step 4: Simplify right side
    2,948x = 6,872,381.24
  5. Step 5: Solve for x
    x = 6,872,381.24/2,948
  6. Step 6: Final answer
    x = 2,331.20

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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.