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Finding the Fourth Proportional to 1,787,649.59, 2,467,005.12 and 971,908.16

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Solution

The fourth proportional to 1,787,649.59, 2,467,005.12 and 971,908.16 is: 1,341,259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787,649.59 : 2,467,005.12 = 971,908.16 : x
  2. Step 2: Convert to fraction form
    1,787,649.59/2,467,005.12 = 971,908.16/x
  3. Step 3: Cross multiply
    1,787,649.59x = 2,467,005.12 × 971,908.16
  4. Step 4: Simplify right side
    1,787,649.59x = 2,397,702,406,889.78
  5. Step 5: Solve for x
    x = 2,397,702,406,889.78/1,787,649.59
  6. Step 6: Final answer
    x = 1,341,259.73

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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.