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Finding the Fourth Proportional to 3,315.16, 4,972.74 and 975.22

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Solution

The fourth proportional to 3,315.16, 4,972.74 and 975.22 is: 1,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.16 : 4,972.74 = 975.22 : x
  2. Step 2: Convert to fraction form
    3,315.16/4,972.74 = 975.22/x
  3. Step 3: Cross multiply
    3,315.16x = 4,972.74 × 975.22
  4. Step 4: Simplify right side
    3,315.16x = 4,849,499.41
  5. Step 5: Solve for x
    x = 4,849,499.41/3,315.16
  6. Step 6: Final answer
    x = 1,462.82

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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.