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Finding the Fourth Proportional to 30,513, 45,643.12 and 28,646.76

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Solution

The fourth proportional to 30,513, 45,643.12 and 28,646.76 is: 42,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,513 : 45,643.12 = 28,646.76 : x
  2. Step 2: Convert to fraction form
    30,513/45,643.12 = 28,646.76/x
  3. Step 3: Cross multiply
    30,513x = 45,643.12 × 28,646.76
  4. Step 4: Simplify right side
    30,513x = 1,307,527,504.29
  5. Step 5: Solve for x
    x = 1,307,527,504.29/30,513
  6. Step 6: Final answer
    x = 42,851.49

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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.