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Finding the Fourth Proportional to 1,806.40, 2,492.76 and 1,216

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Solution

The fourth proportional to 1,806.40, 2,492.76 and 1,216 is: 1,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.40 : 2,492.76 = 1,216 : x
  2. Step 2: Convert to fraction form
    1,806.40/2,492.76 = 1,216/x
  3. Step 3: Cross multiply
    1,806.40x = 2,492.76 × 1,216
  4. Step 4: Simplify right side
    1,806.40x = 3,031,196.16
  5. Step 5: Solve for x
    x = 3,031,196.16/1,806.40
  6. Step 6: Final answer
    x = 1,678.03

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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.