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Finding the Fourth Proportional to 1,547.22, 2,134.11 and 956.73

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Solution

The fourth proportional to 1,547.22, 2,134.11 and 956.73 is: 1,319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.22 : 2,134.11 = 956.73 : x
  2. Step 2: Convert to fraction form
    1,547.22/2,134.11 = 956.73/x
  3. Step 3: Cross multiply
    1,547.22x = 2,134.11 × 956.73
  4. Step 4: Simplify right side
    1,547.22x = 2,041,767.06
  5. Step 5: Solve for x
    x = 2,041,767.06/1,547.22
  6. Step 6: Final answer
    x = 1,319.64

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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.