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Finding the Fourth Proportional to 7,802.40, 11,703.95 and 1,959.06

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Solution

The fourth proportional to 7,802.40, 11,703.95 and 1,959.06 is: 2,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.40 : 11,703.95 = 1,959.06 : x
  2. Step 2: Convert to fraction form
    7,802.40/11,703.95 = 1,959.06/x
  3. Step 3: Cross multiply
    7,802.40x = 11,703.95 × 1,959.06
  4. Step 4: Simplify right side
    7,802.40x = 22,928,740.29
  5. Step 5: Solve for x
    x = 22,928,740.29/7,802.40
  6. Step 6: Final answer
    x = 2,938.68

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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.