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Finding the Fourth Proportional to 1,492.94, 2,240.02 and 1,345.32

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Solution

The fourth proportional to 1,492.94, 2,240.02 and 1,345.32 is: 2,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.94 : 2,240.02 = 1,345.32 : x
  2. Step 2: Convert to fraction form
    1,492.94/2,240.02 = 1,345.32/x
  3. Step 3: Cross multiply
    1,492.94x = 2,240.02 × 1,345.32
  4. Step 4: Simplify right side
    1,492.94x = 3,013,543.71
  5. Step 5: Solve for x
    x = 3,013,543.71/1,492.94
  6. Step 6: Final answer
    x = 2,018.53

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Why These Related Problems?

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