Home / 30,678.86-46,023.16-9,897.50

Finding the Fourth Proportional to 30,678.86, 46,023.16 and 9,897.50

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Solution

The fourth proportional to 30,678.86, 46,023.16 and 9,897.50 is: 14,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.86 : 46,023.16 = 9,897.50 : x
  2. Step 2: Convert to fraction form
    30,678.86/46,023.16 = 9,897.50/x
  3. Step 3: Cross multiply
    30,678.86x = 46,023.16 × 9,897.50
  4. Step 4: Simplify right side
    30,678.86x = 455,514,226.10
  5. Step 5: Solve for x
    x = 455,514,226.10/30,678.86
  6. Step 6: Final answer
    x = 14,847.82

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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.