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Finding the Fourth Proportional to 10,783, 14,880.90 and 6,590.44

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Solution

The fourth proportional to 10,783, 14,880.90 and 6,590.44 is: 9,095.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783 : 14,880.90 = 6,590.44 : x
  2. Step 2: Convert to fraction form
    10,783/14,880.90 = 6,590.44/x
  3. Step 3: Cross multiply
    10,783x = 14,880.90 × 6,590.44
  4. Step 4: Simplify right side
    10,783x = 98,071,678.60
  5. Step 5: Solve for x
    x = 98,071,678.60/10,783
  6. Step 6: Final answer
    x = 9,095.03

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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.