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Finding the Fourth Proportional to 10,605.04, 15,904.32 and 5,055.46

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Solution

The fourth proportional to 10,605.04, 15,904.32 and 5,055.46 is: 7,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.04 : 15,904.32 = 5,055.46 : x
  2. Step 2: Convert to fraction form
    10,605.04/15,904.32 = 5,055.46/x
  3. Step 3: Cross multiply
    10,605.04x = 15,904.32 × 5,055.46
  4. Step 4: Simplify right side
    10,605.04x = 80,403,653.59
  5. Step 5: Solve for x
    x = 80,403,653.59/10,605.04
  6. Step 6: Final answer
    x = 7,581.65

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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.