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Finding the Fourth Proportional to 9,139.84, 12,612.98 and 4,948.08

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Solution

The fourth proportional to 9,139.84, 12,612.98 and 4,948.08 is: 6,828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.84 : 12,612.98 = 4,948.08 : x
  2. Step 2: Convert to fraction form
    9,139.84/12,612.98 = 4,948.08/x
  3. Step 3: Cross multiply
    9,139.84x = 12,612.98 × 4,948.08
  4. Step 4: Simplify right side
    9,139.84x = 62,410,034.08
  5. Step 5: Solve for x
    x = 62,410,034.08/9,139.84
  6. Step 6: Final answer
    x = 6,828.35

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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.