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Finding the Fourth Proportional to 2,918, 4,026.72 and 1,658.90

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Solution

The fourth proportional to 2,918, 4,026.72 and 1,658.90 is: 2,289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918 : 4,026.72 = 1,658.90 : x
  2. Step 2: Convert to fraction form
    2,918/4,026.72 = 1,658.90/x
  3. Step 3: Cross multiply
    2,918x = 4,026.72 × 1,658.90
  4. Step 4: Simplify right side
    2,918x = 6,679,925.81
  5. Step 5: Solve for x
    x = 6,679,925.81/2,918
  6. Step 6: Final answer
    x = 2,289.21

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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.