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Finding the Fourth Proportional to 1,416.09, 1,953.20 and 975.05

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Solution

The fourth proportional to 1,416.09, 1,953.20 and 975.05 is: 1,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.09 : 1,953.20 = 975.05 : x
  2. Step 2: Convert to fraction form
    1,416.09/1,953.20 = 975.05/x
  3. Step 3: Cross multiply
    1,416.09x = 1,953.20 × 975.05
  4. Step 4: Simplify right side
    1,416.09x = 1,904,453.02
  5. Step 5: Solve for x
    x = 1,904,453.02/1,416.09
  6. Step 6: Final answer
    x = 1,344.87

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1.5x scale

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.