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Finding the Fourth Proportional to 30,477.34, 45,712.77 and 9,699.22

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Solution

The fourth proportional to 30,477.34, 45,712.77 and 9,699.22 is: 14,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.34 : 45,712.77 = 9,699.22 : x
  2. Step 2: Convert to fraction form
    30,477.34/45,712.77 = 9,699.22/x
  3. Step 3: Cross multiply
    30,477.34x = 45,712.77 × 9,699.22
  4. Step 4: Simplify right side
    30,477.34x = 443,378,213.04
  5. Step 5: Solve for x
    x = 443,378,213.04/30,477.34
  6. Step 6: Final answer
    x = 14,547.80

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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.