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Finding the Fourth Proportional to 30,779.76, 46,174.08 and 9,712.64

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Solution

The fourth proportional to 30,779.76, 46,174.08 and 9,712.64 is: 14,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,779.76 : 46,174.08 = 9,712.64 : x
  2. Step 2: Convert to fraction form
    30,779.76/46,174.08 = 9,712.64/x
  3. Step 3: Cross multiply
    30,779.76x = 46,174.08 × 9,712.64
  4. Step 4: Simplify right side
    30,779.76x = 448,472,216.37
  5. Step 5: Solve for x
    x = 448,472,216.37/30,779.76
  6. Step 6: Final answer
    x = 14,570.36

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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.