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Finding the Fourth Proportional to 2,920.76, 4,381.06 and 972.98

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Solution

The fourth proportional to 2,920.76, 4,381.06 and 972.98 is: 1,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.76 : 4,381.06 = 972.98 : x
  2. Step 2: Convert to fraction form
    2,920.76/4,381.06 = 972.98/x
  3. Step 3: Cross multiply
    2,920.76x = 4,381.06 × 972.98
  4. Step 4: Simplify right side
    2,920.76x = 4,262,683.76
  5. Step 5: Solve for x
    x = 4,262,683.76/2,920.76
  6. Step 6: Final answer
    x = 1,459.44

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1.5x scale

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.