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Finding the Fourth Proportional to 55,984, 77,255.06 and 30,828.64

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Solution

The fourth proportional to 55,984, 77,255.06 and 30,828.64 is: 42,541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,984 : 77,255.06 = 30,828.64 : x
  2. Step 2: Convert to fraction form
    55,984/77,255.06 = 30,828.64/x
  3. Step 3: Cross multiply
    55,984x = 77,255.06 × 30,828.64
  4. Step 4: Simplify right side
    55,984x = 2,381,668,432.92
  5. Step 5: Solve for x
    x = 2,381,668,432.92/55,984
  6. Step 6: Final answer
    x = 42,541.95

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1.5x scale

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.