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Finding the Fourth Proportional to 7,785.99, 10,746.72 and 4,430.79

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Solution

The fourth proportional to 7,785.99, 10,746.72 and 4,430.79 is: 6,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.99 : 10,746.72 = 4,430.79 : x
  2. Step 2: Convert to fraction form
    7,785.99/10,746.72 = 4,430.79/x
  3. Step 3: Cross multiply
    7,785.99x = 10,746.72 × 4,430.79
  4. Step 4: Simplify right side
    7,785.99x = 47,616,459.51
  5. Step 5: Solve for x
    x = 47,616,459.51/7,785.99
  6. Step 6: Final answer
    x = 6,115.66

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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.