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Finding the Fourth Proportional to 2,492.86, 3,739.35 and 1,031.62

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Solution

The fourth proportional to 2,492.86, 3,739.35 and 1,031.62 is: 1,547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.86 : 3,739.35 = 1,031.62 : x
  2. Step 2: Convert to fraction form
    2,492.86/3,739.35 = 1,031.62/x
  3. Step 3: Cross multiply
    2,492.86x = 3,739.35 × 1,031.62
  4. Step 4: Simplify right side
    2,492.86x = 3,857,588.25
  5. Step 5: Solve for x
    x = 3,857,588.25/2,492.86
  6. Step 6: Final answer
    x = 1,547.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.