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Finding the Fourth Proportional to 47,574, 65,652.12 and 28,711.13

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Solution

The fourth proportional to 47,574, 65,652.12 and 28,711.13 is: 39,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,574 : 65,652.12 = 28,711.13 : x
  2. Step 2: Convert to fraction form
    47,574/65,652.12 = 28,711.13/x
  3. Step 3: Cross multiply
    47,574x = 65,652.12 × 28,711.13
  4. Step 4: Simplify right side
    47,574x = 1,884,946,223.84
  5. Step 5: Solve for x
    x = 1,884,946,223.84/47,574
  6. Step 6: Final answer
    x = 39,621.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.