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Finding the Fourth Proportional to 30,948.64, 46,430.78 and 8,762.20

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Solution

The fourth proportional to 30,948.64, 46,430.78 and 8,762.20 is: 13,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,948.64 : 46,430.78 = 8,762.20 : x
  2. Step 2: Convert to fraction form
    30,948.64/46,430.78 = 8,762.20/x
  3. Step 3: Cross multiply
    30,948.64x = 46,430.78 × 8,762.20
  4. Step 4: Simplify right side
    30,948.64x = 406,835,780.52
  5. Step 5: Solve for x
    x = 406,835,780.52/30,948.64
  6. Step 6: Final answer
    x = 13,145.51

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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.