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Finding the Fourth Proportional to 2,346, 3,237.16 and 1,402.18

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Solution

The fourth proportional to 2,346, 3,237.16 and 1,402.18 is: 1,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346 : 3,237.16 = 1,402.18 : x
  2. Step 2: Convert to fraction form
    2,346/3,237.16 = 1,402.18/x
  3. Step 3: Cross multiply
    2,346x = 3,237.16 × 1,402.18
  4. Step 4: Simplify right side
    2,346x = 4,539,081.01
  5. Step 5: Solve for x
    x = 4,539,081.01/2,346
  6. Step 6: Final answer
    x = 1,934.82

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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.