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Finding the Fourth Proportional to 30,866.16, 46,300.86 and 9,807.90

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Solution

The fourth proportional to 30,866.16, 46,300.86 and 9,807.90 is: 14,712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.16 : 46,300.86 = 9,807.90 : x
  2. Step 2: Convert to fraction form
    30,866.16/46,300.86 = 9,807.90/x
  3. Step 3: Cross multiply
    30,866.16x = 46,300.86 × 9,807.90
  4. Step 4: Simplify right side
    30,866.16x = 454,114,204.79
  5. Step 5: Solve for x
    x = 454,114,204.79/30,866.16
  6. Step 6: Final answer
    x = 14,712.36

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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.