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Finding the Fourth Proportional to 15,206.70, 22,802.76 and 7,807.35

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Solution

The fourth proportional to 15,206.70, 22,802.76 and 7,807.35 is: 11,707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.70 : 22,802.76 = 7,807.35 : x
  2. Step 2: Convert to fraction form
    15,206.70/22,802.76 = 7,807.35/x
  3. Step 3: Cross multiply
    15,206.70x = 22,802.76 × 7,807.35
  4. Step 4: Simplify right side
    15,206.70x = 178,029,128.29
  5. Step 5: Solve for x
    x = 178,029,128.29/15,206.70
  6. Step 6: Final answer
    x = 11,707.28

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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.