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Finding the Fourth Proportional to 3,031.60, 4,547.94 and 840.28

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Solution

The fourth proportional to 3,031.60, 4,547.94 and 840.28 is: 1,260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.60 : 4,547.94 = 840.28 : x
  2. Step 2: Convert to fraction form
    3,031.60/4,547.94 = 840.28/x
  3. Step 3: Cross multiply
    3,031.60x = 4,547.94 × 840.28
  4. Step 4: Simplify right side
    3,031.60x = 3,821,543.02
  5. Step 5: Solve for x
    x = 3,821,543.02/3,031.60
  6. Step 6: Final answer
    x = 1,260.57

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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.