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Finding the Fourth Proportional to 7,531, 10,392.78 and 4,587

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Solution

The fourth proportional to 7,531, 10,392.78 and 4,587 is: 6,330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531 : 10,392.78 = 4,587 : x
  2. Step 2: Convert to fraction form
    7,531/10,392.78 = 4,587/x
  3. Step 3: Cross multiply
    7,531x = 10,392.78 × 4,587
  4. Step 4: Simplify right side
    7,531x = 47,671,681.86
  5. Step 5: Solve for x
    x = 47,671,681.86/7,531
  6. Step 6: Final answer
    x = 6,330.06

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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.