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Finding the Fourth Proportional to 6,988.66, 9,639.47 and 4,746.64

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Solution

The fourth proportional to 6,988.66, 9,639.47 and 4,746.64 is: 6,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.66 : 9,639.47 = 4,746.64 : x
  2. Step 2: Convert to fraction form
    6,988.66/9,639.47 = 4,746.64/x
  3. Step 3: Cross multiply
    6,988.66x = 9,639.47 × 4,746.64
  4. Step 4: Simplify right side
    6,988.66x = 45,755,093.88
  5. Step 5: Solve for x
    x = 45,755,093.88/6,988.66
  6. Step 6: Final answer
    x = 6,547.05

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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.