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Finding the Fourth Proportional to 7,756.58, 11,547.14 and 7,710.45

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Solution

The fourth proportional to 7,756.58, 11,547.14 and 7,710.45 is: 11,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.58 : 11,547.14 = 7,710.45 : x
  2. Step 2: Convert to fraction form
    7,756.58/11,547.14 = 7,710.45/x
  3. Step 3: Cross multiply
    7,756.58x = 11,547.14 × 7,710.45
  4. Step 4: Simplify right side
    7,756.58x = 89,033,645.61
  5. Step 5: Solve for x
    x = 89,033,645.61/7,756.58
  6. Step 6: Final answer
    x = 11,478.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.