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Finding the Fourth Proportional to 7,217.60, 9,973.76 and 6,509.12

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Solution

The fourth proportional to 7,217.60, 9,973.76 and 6,509.12 is: 8,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.60 : 9,973.76 = 6,509.12 : x
  2. Step 2: Convert to fraction form
    7,217.60/9,973.76 = 6,509.12/x
  3. Step 3: Cross multiply
    7,217.60x = 9,973.76 × 6,509.12
  4. Step 4: Simplify right side
    7,217.60x = 64,920,400.69
  5. Step 5: Solve for x
    x = 64,920,400.69/7,217.60
  6. Step 6: Final answer
    x = 8,994.74

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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.