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Finding the Fourth Proportional to 46,484, 69,758.40 and 18,782.24

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Solution

The fourth proportional to 46,484, 69,758.40 and 18,782.24 is: 28,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,484 : 69,758.40 = 18,782.24 : x
  2. Step 2: Convert to fraction form
    46,484/69,758.40 = 18,782.24/x
  3. Step 3: Cross multiply
    46,484x = 69,758.40 × 18,782.24
  4. Step 4: Simplify right side
    46,484x = 1,310,219,010.82
  5. Step 5: Solve for x
    x = 1,310,219,010.82/46,484
  6. Step 6: Final answer
    x = 28,186.45

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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.